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 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?
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For fixed perimeter, a square encloses maximum area.
Updated On: Mar 19, 2026
- \(68\ \text{cm}^2\)
- \(70\ \text{cm}^2\)
- \(71.25\ \text{cm}^2\)
- 72.25 cm²
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The Correct Option is D
Solution and Explanation
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
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