Question

The length of a rectangle is three more than twice the width. Determine the dimensions that give a total area of 27ft squareda. create an equation in terms of w to model this situationb. what are the solutions to this equation c. What are the length and width of the rectangle

Answer 1

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Area = 27ft^2

length = l

width = w

Equation

l = 2w + 3

Section A

Area

A = l*w

A = (2w + 3)* w or A = 2w^2 + 3w

27 = 2w^2 + 3w

2w^2 + 3w - 27 = 0 This is the equation

Section B

2w^2 - 6w + 9w - 27 = 0

2w(w - 3) + 9(w - 3) = 0

(w - 3)(2w + 9) = 0

w1 - 3 = 0 2w + 9 = 0