Question

A wire 34 cm long is to be bent in the form of a quadrilateral of which each angle is 90^∘. What is the maximum area which can be enclosed inside the quadrilateral?

• A. \(68\ \text{cm}^2\)
• B. \(70\ \text{cm}^2\)
• C. \(71.25\ \text{cm}^2\)
• D. 72.25 cm²

Hint:

For fixed perimeter, a square encloses maximum area.

Answer 1

The Correct Option is D

A quadrilateral with all right angles is a rectangle. Maximum area occurs when it is a square. Side: (34)/(4)=8.5 cm Area: (8.5)²=72.25 cm²