MAT 110 Writing a quadratic equation and finding length and width

Question

A floor is 14 feet longer than it is wide. The area of the floor is 1,715 square feet.

(a)

Write a quadratic equation for the area of the floor (in square feet) in terms of w, the width in feet.

 

 

(b)

Find the length l (in ft) and width w (in ft) of the floor.

l= ft w= ft 

Answer 1

1715 = LW = (14+W)W

= W^2 +14W

A(W) = W^2 +14W

W^2 +14W -1715=0

(W+49)(W-35)=0

W =35 feet Wide

L= 49 feet Long