Q. 19 E4.2( 10 Votes )

# If the length of

Answer :

Let sides of rectangle be L and B.

We know, Diagonal =

Or Diagonal^{2} = L^{2} + B^{2}

⇒ 10^{2} = L^{2} + B^{2}

⇒ 100 sq. cm = L^{2} + B^{2}

This can be rewritten as

100 = (L + B)^{2} – 2LB

Area of rectangle = L × B = 62.5 sqcm

Hence,

100 = (L + B)^{2} - 2 × 62.5

⇒ (L + B)^{2} = 100 + 125

Or L + B = = 15cm

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