Question

The length of a verandh is 3m more than its breadth the numerical value of its area is equal to the numerical value of its perimeter.Findthe lengthand breadth of the verandh

Answer 1

Answer:

Breadth = 3m Length = 6m

Step-by-step explanation:

let breadth = b meters

⇒ length = (3 + b) meters

Area = Perimeter

length × breadth = 2 (length + breadth)

(3+b) (b) = 2 (3+b+b)

3b + b² = 2 (3+2b)

3b + b² = 6 + 4b

b² + 3b - 4b - 6 = 0

b² - b - 6 = 0

b² - 3b + 2b - 6 = 0

b (b-3) + 2 (b-3) = 0

(b+2) (b-3) = 0

⇒ b = 3, (-2)→rejected as it is not possible

∴ l = 3 + b = 3+3 = 6

∴ breadth = 3m length = 6m