Question

The length of the rectangle exceeds its breadth by 3cm. If the length and breadth are each
increased by 2cm, then the area of new rectangle will be 70 sq.cm more than that of the given
rectangle. Find the length and the breadth of the given rectangle.

Answer 1

Answer:

The length and breadth of given rectangle are 20.67 cm and 23.67 cm respectively.

Step-by-step explanation:

Given that L = B + 3

A = L × B

A = (B + 3) B

A = B² + 3 B

Given condition is (L + 2) × (B + 2) = A + 70 .......(1)

Substituting value of L in the equation (1),

(B + 2 + 2) × (B + 2) = B² + 3 B + 70

(B + 4) × (B + 2) = B² + 3 B + 70

B² + 6 B + 8 = B² + 3 B + 70

3 B = 62

B = 20.67 cm

So, L = 20.67 + 3

L = 23.67 cm