Question

the length of a rectangle is 12 cm and its breadth is 8 centimetre if the perimeter of the rectangle becomes half when each of its side is decreased by x centimetre calculate the new dimensions of the rectangle

Answer 1

Perimeter of rectangle=2(12+8)
Perimeter=40cm
New length=(12-x)cm
New breadth=(8-x)cm
New perimeter=20cm
perimeter=2(12-x+8-x)
20=2(20-2x)
10=20-2x
2x=10
x=5
length=12-x=7cm
breadth=8-x=3cm

Hope, this helps you.