Question

The length of a rectangular plot is 8m greater than its breadth. If the area of plot is 308 sq m , find the length and breadth of the plot?

Answer 1

let breadth = x
length = x +8
area = 308 = length × breadth
x × x+8 = 308
x^2 + 8x - 308
x^2 +22x -14x -308
x(x+22) -14(x+22)
(x+22)( x-14) =0
x=14 x=-22 which is not possible so x=14 breadth. and length = 14 + 8 = 22