Question

The length of a rectangle exceeds its breadth by 7cm. if the length is decreased by 4cm and the breadth is increased by 3cm, the area of the new rectangle is the 8 cm as the area of the orginal rectangle. find the length and breadth of the original rectangle
pls sove fast

Answer 1

Answer:

16cm

Step-by-step explanation:

Let the breadth = x

The length exceeds = x + 7

The breadth increased = x + 3

Because it said the length decreased by 4 so, the length would be:

x + 7 - 4 = x + 3

Original area:

We learn that:

area = length * breadth

x*(x+7) = (x+3)*(x+3)

x^2 + 7x = (x+3)^2

x^2 + 7x = x^2 + 6x + 9 (We also learn that (a+b)^2 = a^2 + 2ab + b^2

x^2 - x^2 + 7x - 6x = 9

x = 9 (so the breadth = 9)

The length = x + 7 = 9+7 = 16(cm)

Hope this help you :3