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
