Question

The length of a rectangle exceeds is breath by 4 cm If the length and breath each are increased by 3cm the area of the new rectangle will be 81sq more than that of the given rectangle. Find the length and breath of the give rectangle. Check your solution ​

Answer 1

Step-by-step explanation:

let breath of rectangle = a cm

a cmand length = (4+a) cm

its new breath = (a+3)cm

= (a+3)cmand its new leagth = (4+a+3)cm

=(a+7)cm

therefore;

(a+7)(a+3) = (4+a)a+81

a^2+3a+7a+21 = 4a+a^2+81

10a+21 = 4a+81

10a-4a = 81-21

6a = 60

a = 10

length = 10 cm

breadth = 14 cm