Question

A rectangular television's length is 3 inches more than twice the width. The perimeter of the TV is 144 inches. What is an equation to find the width?

Answer 1

Answer:

52 inches

Step-by-step explanation:

We know that the perimeter of a rectangle is equivalent to twice the width plus twice the length.

P

=

2

w

+

2

l

Since the length is 18 more then the width, we can rewrite

l

as

(

w

+

18

)

.

Plug in that in place of

l

and plug in 244 for the perimeter, and you can solve for the width.

244

=

2

w

+

2

(

w

+

18

)

Distribute:

244

=

2

w

+

2

w

+

36

Combine like terms:

244

=

4

w

+

36

Subtract 36 from each side:

208

=

4

w

Divide each side by 4:

52

=

w