Question

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

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

Hint:

Among rectangles with fixed perimeter, the square has maximum area.

Answer 1

The Correct Option is D

Step 1: With all angles 90°, the figure is a rectangle. 
Step 2: For fixed perimeter, area is maximized by a square. 
Step 3: Side =34/4=8.5 cm. 
Step 4: Maximum area: A=(8.5)²=72.25 cm²