Question

the length of a rectangle exceeds its breadth by 3 cm if the length and breadth are each increased by 2 cm the area of the new rectangle will be 70sq cm more than the given rectangle. find the dimensions of the rectangle​

Answer 1

Answer:

Let the breadth be x cm

Then the length is x + 3 cm

Area of the old rectangle

= length x breadth

= x(x+3) cm^2

= x^2 + 3x cm^2

Length of the new rectangle = x + 5 cm

Breadth of the new rectangle =  x + 2 cm

Area of the new rectangle

= length x breadth

= (x + 2)(x+5) cm^2

= x^2 + 7x + 10 cm^2

According to the question,

x^2 + 3x + 70 = x^2 + 7x + 10

4x = 60

x = 15

Length of the original rectangle = x + 3 = 15 + 3 = 18 cm

Breadth of the original rectangle = x = 15 cm