Question

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:

• A. 96
• B. 78
• C. 84
• D. 100

Answer 1

Answer:

A. 96

Perimeter of rectangle = 2 ×(Length + Breadth)

Area of rectangle = Length × Breadth

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