Question

the length of rectangular garden exceed breadth by 6 metres. if area of garden is 216 metre Square . find the length and breadth of garden

Answer 1

Let the breadth of rectangle = x

Length = (x + 6)

Given, Area = 216 m²

A/q,

➡ x * ( x + 6 ) = 216

➡ x² + 6x = 216

➡ x² + 6x - 216 = 0

➡ 333222

➡ x² + 18x - 12x - 216 = 0

➡ x ( x + 18 ) - 12 ( x + 18 )

➡ ( x - 12 ) ( x + 18)

➡ x = 12 & x = -18

x is breadth of rectangle so it can not be -ve.

so,

Breadth =x = 12m

Length = x + 6 = 12 + 6 = 18m

Hope it will help you !!