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