SOLUTION: Suppose that the perimeter of a rectangle is 24 inches and the length is twice the width. What are the dimensions of this rectangle and what is the area?

Question 315541: Suppose that the perimeter of a rectangle is 24 inches and the length is twice the width. What are the dimensions of this rectangle and what is the area?
Answer by moshiz08(60) (Show Source): You can put this solution on YOUR website!
Perimeter is the sum of the four sides. Since we have a rectangle, opposite sides have the same length. So two of the sides have length L and the other two are the width W. Perimeter is .
Length is twice the width, that is . Substitute this into the perimeter equation (replace the 2W with L) to get
. Thus, dividing by 3 gives . The length is twice the width, so the width must be 4.
We have a 8 x 4 rectangle which has an area of 32 square inches.
Check that this solution works. The perimeter does indeed add up to 24 and the length is twice the width.
RELATED QUESTIONS
Suppose that the perimeter of a rectangle is 24 inches and the length is twice the width. (answered by mananth)

Suppose that the perimeter of a rectangle is 36 and the length is twice the width. What... (answered by benni1013)

The perimeter of a rectangle is 24 inches. The length is twice the width. find the... (answered by rfer)

perimeter of rectangle is 74 inches. What are dimensions if the length is 7 inches... (answered by nerdybill)

The length of a rectangle is 6 inches less than twice the width. If the perimeter of the... (answered by ReadingBoosters)

The length of a rectangle is twice the width. The perimeter is 24 units. What are the... (answered by erica65404)

the perimeter of a rectangle is 128 inches. if the length of the rectangle is 8 less than (answered by stanbon)

The perimeter of a rectangle is 94 inches. The width is 2 more than twice the length.... (answered by ohtheirony)

Suppose that the perimeter of a rectangle is 66 and the lenght is twice the width. what... (answered by JulietG)