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James often helps his grandfather weed the garden. The rectangular garden has a perimeter of 66 metres. The length is twice the breadth. What is the area of the garden?

Question

James often helps his grandfather weed the garden. The rectangular garden has a perimeter of 66 metres. The length is twice the breadth. What is the area of the garden?

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Solution

To solve this problem, we first need to understand the relationship between the length, breadth, and perimeter of a rectangle. The formula for the perimeter of a rectangle is 2*(length + breadth).

Given that the perimeter is 66 metres and the length is twice the breadth, we can set up the following equation:

2*(length + breadth) = 66 2*(2breadth + breadth) = 66 2(3breadth) = 66 6breadth = 66

Solving for breadth, we get:

breadth = 66 / 6 breadth = 11 metres

Since the length is twice the breadth, the length is:

length = 2 * 11 = 22 metres

Finally, the area of a rectangle is given by the formula length * breadth, so:

Area = length * breadth Area = 22 metres * 11 metres Area = 242 square metres

So, the area of the garden is 242 square metres.

This problem has been solved

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