The sides of the rectangle are in the ratio 8 : 10 and its perimeter is 90 cm. The area of this rectangle is:
500 cm2
The correct answer is Option 3 i.e. 500 cm2.
Let length = 10x and breadth = 8x
Perimeter of rectangle = 2(length + breadth)
⇒ 90 = 2(10x + 8x)
⇒ 90 = 2 × 18x
⇒ x = 2.5
Length = 10x = 25 cm
Breadth = 8x = 20 cm
The area of a rectangle = length × breadth
⇒ 25 × 20 = 500 cm2
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