The area of a rectangular wall of a barn is 45 square feet.

Question

Its length is 4 feet longer than the width. Find length and width of the wall?

Answer 1

Let width of the rectangle is x

length of the rectangle=4+width of the rectangle=4+x

Area of the rectangle ,A=lb

45=(4+x)x

x^2+4x-45=0

x^2+9x-5x-45=0

x(x+9)-5(x+9)=0

(x+9)(x-5)=0

x=5

Width of the rectangle,b=5 ft

Length of the rectangle,l=4+b

                                   =4+5

                                    =9 ft

Comments

Therefore, length and width of the wall are 9 ft and 5 ft.