The length of the rectangle is 4cm more than its breadth. If its perimeter is 36cm find its area.
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Answer:
- The area of the rectangle = 77 cm²
Given:
- The length of the rectangle is 4cm more than its breadth. the perimeter of the rectangle is 36cm.
Need to find:
- The area of the rectangle = ?
Solution:
Let,
- The breadth of the rectangle = y
Then,
- The length of the rectangle = (y + 4)
According to the question:
➜ 2 × [y + (y + 4)] = 36
➜ 2y + 4 = 18
➜ y = 7
Now,
- The breadth of rectangle = 7 cm
- Length of the rectangle = 7 + 4
- Length of the rectangle = 11 cm
Therefore:
- The area of the rectangle = 7 × 11
- The area of the rectangle = 77 cm²
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