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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:

A96

B78

C84

D100

Answer:

A. 96

Read Explanation:

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


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