Question

The area of rectangular site is 96meter square .if it's length is greater than breadth by 4meter find it's length and breadth

Answer 1

Answer:

Step-by-step explanation:

Step 1 :

Given,

Area of the rectangular site, A = 96 meter square

Let breadth of the rectangular site, b = x meter

According to question,

length of the rectangular site, l = (x + 4) meter

Step 2 :

Formula :-

Area = length*breadth

96 = x*(x + 4)

x^2 + 4*x = 96

x^2 + 4*x - 96 = 0

x^2 + (12 - 8)*x - 96 = 0

x^2 + 12*x - 8*x - 96 = 0

x(x + 12) - 8(x + 12) = 0

(x + 12)(x - 8) = 0

Either, x + 12 = 0

          x = -12

Or, x - 8 = 0

     x = 8

Therefore, b = -12 or 8

Step 3 :

When x = -12,

l = x + 4 = -12 + 4 = -8

When x = 8,

l = x + 4 = 8 + 4 = 12

Therefore, l = -8 or 12

Hence, the length and breadth of the rectangular site are -8 and -12 or 12 and 8.