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If the perimeter of a square and a rectangle are the same, then the area P and Q enclosed by them would satisfy the condition
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- P < Q
- P ≤ Q
- P > Q
- P = Q
- P < Q
Correct Option: C
Using Rule 10,
Let the side of square be 1 cm, then 2 (l + b)
= 4 × side = 4 × 1
⇒ l + b = 2, If l = 1.5, b = 0.5
∴ Area of square = 1 sq.cm.
and Area of rectangle = 1.5 × 0.5 = 0.75 sq.cm.
For a given perimeter, square has the largest area. i.e, P > Q
