SOLUTION: The perimeter of a rectangle is 70 and its diagonal is 25. Find its length and width. Its length is Its width is where length

SOLUTION: The perimeter of a rectangle is 70 and its diagonal is 25. Find its length and width. Its length is Its width is where length > width

Question 1152451: The perimeter of a rectangle is 70 and its diagonal is 25. Find its length and width.
Its length is

Its width is
where length > width
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!

let the length be and the with
if the perimeter of a rectangle is , we have

if its diagonal is , we have

diagonal divides rectangle into two right triangles

in one right triangle, one leg is the length , the other leg is the width
using Pythagorean theorem, we have:
....substitute and
.....solve for

.....simplify

=>or
since is width, go with and the other () will be the length
or calculate:

answer:
Its length is
Its width is
where length > width

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