Question

Brianna’s rectangular garden has a length that is 3 feet longer than double the width. The area of the living room is 65 square feet. What are the dimensions of his living room?

Answer 1

Answer:

Step-by-step explanation:

let width=x

length=2x+3

area=length×width=(2x+3)×x=2x²+3x

2x²+3x=65

2x²+3x-65=0

2x²+13x-10x-65=0

x(2x+13)-5(2x+13)=0

(2x+13)(x-5)=0

either 2x+13=0

2x=-13

x=-13/2 (rejected as x≥0)

x-5=0

x=5

width=5 ft

length=65/5=13 ft