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The perimeters of a square and a rectangle are equal . If their area be ‘A’ m&su2; and ‘B’ m&su2; respectively, then correct statement is
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- A < B
- A < B
- A > B
- A > B
- A < B
Correct Option: C
Length of rectangle = l metre,
its breadth = b metre
Side of square = x metre
According to the question,
4x = 2 (l + b)
⇒ l + b = 2x ..... (i)
Area of square = A = x²
Area of rectangle = B = lb
∴ A – B = x² – lb
| = |  |  | ² | - lb | |
| 4 |
| = | - lb | |
| 4 |
| = | ||
| 4 |
| = | > 0 | |
| 4 |
⇒ A > B
