The perimeter of a square is the same as the perimeter of a rectangle. The perimeter of the square is 40 m, If its breadth is two- thirds of its length , then the area ( in m2) of the rectangle is :
Show answer & explanation
Correct answer: A
Explanation
The correct answer is option 1 i.e. 96
The perimeter of square = Perimeter of rectangle
The perimeter of square = 40 m
The breadth of the rectangle = Two-thirds of its length
Perimeter of rectangle = 2 × (Length + Breadth)
Area of rectangle = Length × Breadth
Let the length rectangle be 3x.
Breadth = 2/3 of 3x = 2x
Perimeter = 2 × (Length + Breadth)
40 = 2 × (3x + 2x)
20 = 5x
x = 4
Length = 3x = 12 m
Breadth = 2x = 8 m
Area = Length × Breadth
Area = 12 × 8 = 96 m2