Question

The length of a rectangle is the sum of the width and 1. The area of the rectangle is 72 units. What is the length, in units, of the rectangle?

Answer 1

not enough evedince cant really answer sorry

Explanation:

have a nice day though

Answer 2

9

Explanation:

width =x

\text{length = }x+1

length = x+1

\text{width}\cdot\text{length}=\text{area}

width⋅length=area

x(x+1)=

x(x+1)=

\,\,72

72

x^2+x=

x

2

+x=

\,\,72

72

-72=

−72=

\,\,-72

−72

x^2+x-72=0

x

2

+x−72=0

Set to Zero

(x-8)(x+9)=0

(x−8)(x+9)=0

Factor

x-8=0 \hspace{30px} x+9=0

x−8=0x+9=0

Set factors to zero

x=8 \hspace{40px} x=-9

x=8x=−9

\text{width}=8

width=8

Ignore the negative solution.

\text{length}=x+1

length=x+1

8+1

8+1