Question

If each of any two opposite sides of a square is increased by two cm and each of the other two sides is decreased by two cm, we obtain a rectangle whose area is 45 cm2. What is the perimeter of the original square?
A) 38 cm
B) 32 cm
C) 28 cm
D) 44 cm
E) None of these

Answer 1

let sides of original square be x cm

new lengths= x+2 cm

new breadths= x~2 cm

area=45cm2

l*b= area

45=(x-2)(x+2)

45=x2-4

49=x2

x=7cm

perimeter of original square=4*7=28 cm