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 cm\(^2\)
• B. 70 cm\(^2\)
• C. 71.25 cm\(^2\)
• D. 72.25 cm\(^2\)

Hint:

For a fixed perimeter, the area of a right-angle quadrilateral is maximized when the quadrilateral is a square.

Answer 1

The Correct Option is C

The maximum area for a quadrilateral with right angles and a fixed perimeter occurs when it is a square. The area is calculated using the side length obtained from the perimeter.
Final Answer: \[ \boxed{71.25 \, \text{cm}^2} \]