The perimeter of a rectangular garden is 48 m. If the length is 6 m more than the breadth, the area (in m2) of the garden is:
Show answer & explanation
Correct answer: A
Explanation
The correct answer is Option 1 i.e. 135.
The perimeter of the rectangular garden = 48 m
Length(l) is 6 m more than the breadth(b)
l = b + 6
We know that,
The perimeter of a rectangle = 2(l + b)
⇒ 2(l + b) = 48
⇒ l + b = 24
⇒ b + 6 + b = 24
⇒ 2b = 18
⇒ b = 9
so, l = 15
Now,
The area of the rectangle(A) = l × b
⇒ A = 15 × 9 = 135 m2