The perimeter of a rectangular garden is 48 m. If the length is 6 m more than the breadth, what is the area (in m²) of the garden?

Question

Accepted Answer

Let the breadth of the rectangular garden be x meters. Then the length is (x + 6) meters.

The perimeter P of a rectangle is given by:
P = 2 × (length + breadth)
Given P = 48 meters,
So, 48 = 2 × (x + (x + 6))
=> 48 = 2 × (2x + 6)
=> 48 = 4x + 12
=> 4x = 48 - 12 = 36
=> x = 36 / 4 = 9 meters (breadth)

Length = x + 6 = 9 + 6 = 15 meters

Area A of the rectangle is:
A = length × breadth = 15 × 9 = 135 m²

Hence, the area of the garden is 135 m².

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