Terry is building a tool shed with a 90 square foot base and a length that is three more than twice the width. This can be model

Question

3 years ago

14

ed by the equation (2w+15) (w-6)= 0. The length of Terry's tool shed is______ feet.

1 answer:

Lilit [14] · Answer 1 · 2022-09-26T20:06:20+03:00

Answer:

l = 15 feet

Step-by-step explanation:

l = 2w + 3

First you solve for the width(w)

(2w+15) (w-6) = 0

This means

2w+15=0 OR. w-6=0

First let’s solve 2w+15=0

2w = -15

w = -7.5

Width can’t be negative so that can’t be the answer. So we look at the second equation w-6=0

w= 6

Since we found the width now we can find the length by using the formula l = 2w + 3

= 2(6) + 3

= 12 + 3

= 15 feet

You can check this by using the given area which is 90.

A = lw = 15*6 = 90