Question

Seg PS| seg QR. prove that PQ^2+RS^2=QS^2+ PR^2​

Answer 1

Answer:

Let the length be "L" and the width "W"

We know that the ration is 5:3

Then, L/W = 5/3

Cross multiply:

==> 3L = 5W

==> L = (5/3)*W

Also, it is given that the perimeter P is 32:

==> 2L + 2W = 32

Now substitute (1) in (2):

==> 2 (5/3)W + 2W = 32

==> (10/3)W + 2W = 32

==> (16/3)W = 32

Multiply by 3/16: