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Problem 6 - Entrance Test

A Saharan rectangle has perimeter 40 km and diagonal 2√34 km. What is its area?

Correct: B

2(l+w)=40 and l²+w²=136. (l+w)²=400 ⇒ l²+w²+2lw=136+2A=400 ⇒ A=132⁄2=96 km².