Question

The length of a rectangle exceeds its width by 8 cm and the area 240sq cm .Find the dimension of rectangal

Answer 1

Answer:

Step-by-step explanation:

Let the breadth of the rectangle be x cm

Length = (x + 8) cm

Given : Area of rectangle = 240 cm²

According to the question,

Area of rectangle = (Length × Breadth) sq. units

=> 240 = (x + 8) × x

=> 240 = x² + 8x

=> x² + 8x - 240 = 0

=> x² + 20x - 12x - 240 = 0

=> x(x + 20) - 12(x + 20) = 0

=> (x - 12) (x + 20) = 0

=> x = 12 or x = - 20

∴ x = 12 (Length is always taken positive)

Hence,

Breadth = x = 12 cm

Length = (x + 8) = (12 + 8) = 20 cm