MATH SOLVE

8 months ago

Q:
# A scale drawing shows a room to be 3 inches by 4-1/2 inches. carpet, which is $15 per square yard, is to be installed in the room. if the scale is 1 inch to 4 feet, how much would it cost to install the carpet?

Accepted Solution

A:

Scale = 1 inch : 4 feet

------------------------------------------

Find actual width :

------------------------------------------

Width = 3 inches

Actual Width = 3 x 4 = 12 feet

------------------------------------------

Find actual length :

------------------------------------------

Length = 4 1/2 inches

Actual Length = 4 1/2 x 4 = 18 feet

------------------------------------------

Find Area :

------------------------------------------

Area = 12 x 18 = 216 ft²

------------------------------------------

Find Cost :

------------------------------------------

1ft² = $15

216 ft² = 15 x 216 = $3240

------------------------------------------

The carpet will cost $3240

------------------------------------------

------------------------------------------

Find actual width :

------------------------------------------

Width = 3 inches

Actual Width = 3 x 4 = 12 feet

------------------------------------------

Find actual length :

------------------------------------------

Length = 4 1/2 inches

Actual Length = 4 1/2 x 4 = 18 feet

------------------------------------------

Find Area :

------------------------------------------

Area = 12 x 18 = 216 ft²

------------------------------------------

Find Cost :

------------------------------------------

1ft² = $15

216 ft² = 15 x 216 = $3240

------------------------------------------

The carpet will cost $3240

------------------------------------------