Question

The length of a rectangular window is 5 feet more than its width.the area of the window is 36ft2

Answer 1

Step-by-step explanation:

Let the width or breadth of a rectangular window be 'x'ft

and the length be (x+5) ft

length *breadth =area of rectangle

(x+5)*x=36

x^2+5x=36

x^2+5x-36=0

x^2+(9-4)x-36=0

x^2+9x-4x-36=0

x(x+9)-4(x+9)=0

(x+9)(x-4)=0

either, x+9=0

x=-9

or, x-4=0

x=4

length or breadth cannot be negative. so, x=4

breadth of a rectangular window is 4 ft.

length of rectangular window is (x+5) ft=(4+5)ft.=9 ft