The side of a square is 2 cms less than the length of a rectangle and the breadth of the rectangle is 5 ems less than the side of the squar… — Answer & Discussion

The side of a square is 2 cms less than the length of a rectangle and the breadth of the rectangle is 5 ems less than the side of the square. The area of the square is 324 sq. cms. What is the area of the rectangle?

A250 sq. cms
B260 sq. cms
C254 sq. cms
D258 sq. cms

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Discussion 1

CCommunity16 May 2019

Solution
Let the length of rectangle be y cm
So, Side of Square becomes = (y-2) cm
Area of square = $(side)^{2}$
$(y-2)^{2}$ = 324

y-2 = 18
y= 20
breadth of rectangle = (y-2) - 5 = 13
So, area of rectangle with lenth 20 cm and breadth 13 cm = 20 x 13 = 260 sq. cms.
Hence option B is correct