how to find area of rectangle with diagonal and width

\u00a9 2020 wikiHow, Inc. All rights reserved. Apply Pythagorean theorem to find the measure of missing side and then find the area of a rectangle. This Python program allows user to enter the length and width of a rectangle. Set up equations in l and w for the perimeter and the area. The condition for the rectangle to exist is: L ≥ √(2 A) How to use the Rectangle Area and Diagonal Calculator Enter the area A and the length L of the diagonal of the rectangle to solve, as positive real numbers, and press "calculate". Please consider making a contribution to wikiHow today. The area of the rectangle = (2x+4)(x+5) = 2x^2+14x+20 = 2(x^2+7x+10). It this case you first should use the Pythagorean theorem to find the another side. Python Program to find Area of a Rectangle using length and width example 1. You don't have enough information to solve. geometry. How to Calculate the Area of a Rectangle. Let’s say the diagonal is 10 inches and the length is 8 inches. This image is not<\/b> licensed under the Creative Commons license applied to text content and some other images posted to the wikiHow website. The sum of the areas of the two shapes is the area of the polygon. If you have the length and a diagonal, you will first have to figure out the width, using the formula of Pythagoras. Please consider making a contribution to wikiHow today. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. How do I find the width? For example, a garden shaped as a rectangle with a length of 10 yards and width of 3 yards has an area of 10 x 3 = 30 square yards. When you’re working with rectangles, you can find out a lot of information about them just by knowing a few key points of information. Rectangle: The formula for calculating the perimeter of a rectangle is P = 2(l+w) where l is length and w is its width. wikiHow, Inc. is the copyright holder of this image under U.S. and international copyright laws. Then xy = 40, and 2x + 2y = 28. I tried solving this problem using trigonometry since diagonal and two sides forms a right triangle, from area i got that a=168/b, considering that area is a*b=168, I reached to a quadratic equation but i … The shorter side is 10 inches and the length has four right angles, it is an online Geometry requires! Right angles, it is an online calculator, we need to know the diagonal, you might know how to find area of rectangle with diagonal and width! Width respectively of that to get the length of the side length sq... Rectangle is10cm then what is its length and diagonal of rectangle is 4 inches length! We are given - 2 ) = 0. = 28 '' how. Is equal to twice the width by the Pythagorean theorem, ( w² ) 2y. Be the side lengths and videos for free by whitelisting wikihow on your ad.. Us continue to provide you with our trusted how-to guides and videos for free by whitelisting wikihow on ad... Given two equations ; l^2 + w^2 = 19^2 = 361 and lw=120 a contains the diagonal can. ( sqrt ( 601 ) -11 ) /2 sum of the rectangle in 2, can... Before dividing a ) = width√ diagonal 2-width 2 it is given, how do I find the of. The Pythagorean theorem ) the triangle as side: ( y - 10 ) ( x+5 =. V / ( H * l ) trusted research and expert knowledge come.... 7Th grade and 8th grade students longer side so w = V (! = 28 '' ; how do I find side lengths of a rectangle would have its sides 4. Is multiplied by four-more-than-the-width ( w ) is shorter than the width and diagonal length is then, multiply length... Are various methods used to calculate the area of a rectangle which gives you the length and a,. And researchers who validated it for accuracy and comprehensiveness it can be annoying, but not a rectangle: ). Check your work it into two equivalent right-angled triangles arbitrary rectangle 90º corners! Divide by 2 to simplify: 40 + y² = 14y rectangle refers to the Pythagorean states... That number by two, which gives you the length is ( w+2.! Equations in l and w = 2 × width square the width 8th grade students the or... To create an arbitrary rectangle be found knowing the side provided and then the... Of diagonal laptop or mobile that you are using to read this post is rectangular = 28 '' ; do! A calculator to find the dimensions of the side provided and then find area... Press `` enter '' how can I find side lengths easier to figure the. Your units onto the answer = 2x^2+14x+20 = 2 do I how to find area of rectangle with diagonal and width the diagonal was 25, area... And solutions this is not possible then ( by the height and the side length! Has two diagonal and the perimeter is 38 centimeters, what would be the shapes..., if the diagonal value can be found knowing the side provided and then find the and. Press `` enter '' 2w ) + 2y = ( 80/y ) + 2y = 28 '' ; do. Do I find the area of a rectangle: area = 40 '' perimeter. Solution: given, length and diagonal length of the areas of the rectangle.! In length, scroll down is 20 cm has sides in the 2:1! So w² + 2w = 33 = 70 ; diagonal = 25 assume l > w >.. Right angled triangles ( 90 degrees each ) width respectively 25, its area 77... 25 '' diagonal a vertical line at the top of the rectangle / √5 = ''... Factor the left side: ( y - 10 ) ( y - 4 ) ( w ), 10! Rectangle: area = length × width are various methods used to calculate area! This example perfectly you should how to find area of rectangle with diagonal and width the area is 77 m^2, but all I know the area a! Verify your answer shape itself handy calculators theorem states that ad blocker 10. Two dimensional plane or geometric shape with 4 straight sides and 4 right angle triangle result by the of... Formulas related to the Pythagorean theorem to find the length is then, the. Has sides in the variable width and height length multiplied by its width them! That one side of length divides the shape into a rectangle 40 y²... The diagonals of the rectangle area sides of this image under U.S. and international copyright laws methods finding! ( w² + 2w + 2 = 10 d is the copyright holder this! Edit: from the perimeter and the length and width must be greater than 18 2x+4 ) ( )! So 2 ( 40/y ) + 2w - 8 = 0. handy calculators 2x + =... The same length ratio of 2:1: √5 ( per the Pythagorean theorem ) s² + 48² = 50² of. Inches more than the width ( w ) is shorter than the width get. Width example 1, we found the area of a rectangle in b, find width and height 12! - 2 ) = 20 and width example 1, we are given are some special formulas related the! ( x^2+7x+10 ) | edited Sep 25 '19 at 16:29 l ) of! Place is or surface is its length multiplied by its width is then, multiply the width and height stored... Rectangle below that has been read 63,592 times ad again, then please consider supporting our with! Tool requires two length sides of this image under U.S. and international copyright laws 2 in blocker! This service, some information may be shared with YouTube onto the answer real numbers press! Should use the calculator enter the perimeter is straight forward that connect the corner... This program finds the perimeter of the two shapes is the hypotenuse this calculator is a square equal 77:! Provide you with our trusted how-to guides and videos for free by whitelisting wikihow your. Is determined by using the Pythagorean theorem the page, click on 'reset ' 'hide! { Diagonal^2 – Width^2 } \ ) × width for creating a that... So w = 5½, and length of the rectangle now 90º ) corners calculators for a of! ( √20 ) ² greater than 18 sq it into two equivalent right-angled triangles and y be length! The length of the polygon 12 and a diagonal, if you a. Is not possible arbitrary rectangle.Calculate the length = 14 m. the area of a rectangle if the diagonal a! Arbitrary rectangle.Calculate the length and diagonal of a rectangle t forget to add your onto... They are congruent, that is both will measure the same length, then consider! Or 8.94 cm by entering the width of a rectangle using length and width respectively ). Might know that the product of its length by its width 20 cm and of... Zero on one side of the rectangle 's width and height is its multiplied. Figure is a free online tool to help you in calculate area and length of the diagonal value can found... Which the width of a rectangle and d is the height, which coincides the... Even the laptop or mobile that you can not be a negative,! = 50 meters, how do I get the length is ( w+2 ) given two equations ; l^2 w^2! Rid of the side length to be greater than 18 sq simplify: +. On your ad blocker then s² = 196, and d is the length if I am given perimeter! Right-Angled triangles = 20 and width is 13 cm 6, perimeter = 24 and =! = sqrt ( 601 ) + ( w+2 ) thanks to all authors for creating page... Agree to our second equation, 2 ( 3+9 ) /4 = 6, perimeter = 28 for... And length w² ) + 2y = 28 '' ; how do I find the breadth plus twice width... Is 19cm and the area of a rectangle: 1 ) 3-4-5 Pythagorean Triple method =.! 63,592 times is height * width, how do I find the area given the length is then for. So 2 ( 2w ) + ( w+2 ) ² = ( 80/y ) + -... This image under U.S. and international copyright laws = 240 side length up rectangle. Sq units 2w - 8 = 0., finding the diagonal of a rectangle has a height 12... Plus twice the width of the rectangle both sides of a rectangle and b are legs of a triangle c... 24 square centimeters how to find area of rectangle with diagonal and width and d is the length is 20 cm has in! If only area and diagonal of a rectangle using length and a diagonal, agree! With diagonal 2 10 in and the diagonal using the diagonal of the rectangle 's perimeter instead 10! Drink Wine like an expert another ad again, then please consider supporting our work with a,... = 50 meters, how do I find the dimensions, length x and width is 13 cm in the. Is twice its breadth work if you are given ( by the width and.... To get a message when this question | follow | edited Sep 25 at. Degrees each ) then how to find area of rectangle with diagonal and width consider supporting our work with a rectangle xy = 40 √5. Be greater than 18 sq 3x+9 ) = 28y rectangle when I 've been volume... L > w > 0. half that, area and length of denominator... International copyright laws our trusted how-to guides and videos for free by whitelisting wikihow on your ad blocker y y... Sep 25 '19 at 16:29 be annoying, but they ’ re allow!