Question

The perimeter of a rectangle is 70 and it's diagonal is 25. Find it's length and width.

Answer 1

Explanation:

1 . 2 ( l + b ) = 70

2 .

`√(l^2+b^2) = 25\\l^2+b^2 = 625`

l + b = 35

`(l + b)^(2) = 35^2\\(l+b)^2 = 1225`

`l^2+b^2+2lb = 1225`

625 + 2lb = 1225

2lb = 600

lb = 300

on solving both the equation we get l and b as 20 and 15