Question

A rectangular doormat is 21 inches long and has an area of 714 square inches. Find its width. Will the doormat fit in an entryway that is 36 inches wide? Show and explain your work.

a) Width = 34 inches, Yes it will fit.
b) Width = 33 inches, Yes it will fit.
c) Width = 34 inches, No it won't fit.
d) Width = 33 inches, No it won't fit.

Answer 1

The width of the rectangular doormat is calculated by dividing the area (714 square inches) by the length (21 inches), resulting in a width of 34 inches. Since the entryway is 36 inches wide, the doormat will fit. The correct answer is a) Width = 34 inches, Yes it will fit.

Step-by-step explanation:

To find the width of a rectangular doormat with a known length and area, we can divide the area by the length. In this case, the area is 714 square inches and the length is 21 inches. Dividing the area by the length gives us the width:

1. Area = length × width
2. 714 sq inches = 21 inches × width
3. Width = 714 sq inches / 21 inches
4. Width = 34 inches

Since the entryway is 36 inches wide and the doormat's width is 34 inches, the doormat will fit inside the entryway.

So the correct answer is: a) Width = 34 inches, Yes it will fit.