Question

14. The length of a rectangle is 5 cm more than its breadth. If the length is decreased by 3 cm and
breadth is decreased by 2 cm, then area of the new rectangle is same as the area of the original
rectangle. Find the dimensions of the original rectangle.​

Answer 1

Answer:

Length = 14cm

Breadth = 9cm

Step-by-step explanation:

Let the breath of the rectangle be x

Therefore, length of the rectangle = x + 5

If length is decreased 3cm and breadth is decreased 2cm

then , x + 5 - 3 × x - 2 = x + 2 × x - 2

= x² - 2²

Area of the original rectangle

= x + 5 × x

= x² + 5

A/q x² - 2² = x² + 5

x² - 4 = x² + 5

x² - x² = 5 + 4

= 9

So, length = 9 + 5 = 14

breadth = 9