Question

A landscaper is constructing a rectangular garden with an area of 108 square feet. He draws the garden on paper and represents the length as and the width as (x-1) . Find the length and the width of the garden(x-4). Select all that apply
7 feet
8 feet
9 feet
12 feet
13feet

plssss help

Answer 1

Answer:

7, 4ft

Step-by-step explanation:

Given data

area = 108 square feet

length = (x-1)

width = (x-4)

Area=L*W

$108=(x-1)*(x-4)$

open bracket

$108= x^2-4x-x+4\\\\108=x^2-5x+4\\\\x^2-5x-104=0$

a= 1

b=-5

c=-104

Applying the quadratic formula

x=-13

or

x=8

since x cannot be negative

x= 8

length = (x-1)= 8-1= 7ft

width = (x-4)= 8-4= 4ft