Question

Rosa has a rectangle shaped backyard where the length is two less than twice the width. If the area of the garden is 420 square feet, find the dimensions of Rosa's garden?

Answer 1

The expression for the area of a rectangle is given by:
 A = (w) * (l)
 Where,
 l: long
 w: width
 the length is two less than twice the width:
 l = 2w-2
 Substituting the values:
 420 = (w) * (2w-2)
 We rewrite the expression:
 210 = (w) * (w-1)
 210 = w ^ 2-w
 w ^ 2-w-210 = 0
 The roots of the polynomial are:
 w1 = -14
 w2 = 15
 We discard the negative root.
 Width:
 w = 15
 Long:
 l = 2w-2
 l = 2 (15) -2
 l = 30-2
 l = 28
 Answer:
 the dimensions of Rosa's garden are:
 w = 15 feet
 l = 28 feet