Question

The length of rectangular park is 8m more than its breath if area of park is 240m then find the length and breath of the park

Answer 1

Answer:

Step-by-step explanation:

Let, breadth of the park (b) = xm

so, length of the park (l) = x +8m

Now, A/Q,

l × b = 240

(x+8)x = 240

x^2 + 8x = 240

x^2 + 8x - 240 =0

x^2 + ( 20 - 12 )x = 0

x^2 + 20x -12x = 0

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

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

Hence, either x= -20

or x= 12

Since dimension cannot be negative, therefore, x (breadth) = 12 m

And, x+8 ( length) = 12+8= 20 m.

Hope that's helpful to you.