Question

the ratio of the length to the width of a new carpet installed in an agency's lobby is 2 to 7. If the length plus the width of the new carpet equals 36 feet, what are the dimensions of the carpet?

Answer 1

Answer:

Length is 8 feet

Width is 28 feet

Step-by-step explanation:

We can think of this as "parts" problem.

• If the ratio of length to width is 2 to 7, we can say that the total parts is 2 + 7 = 9

• We also know that the measurement of Length + Width is 36 ft.

There are 9 parts in total and it is 36 feet. Hence, 1 part is:

$\frac{36}{9}=4$ feet

From initial ratio statement, we know length is 2 parts and width is 7 parts.

Length is $4*2=8$ feet

Width is $4*7=28$ feet