Question

A drawing of a basement uses a scale of 1 inch to 8 feet.the basement is 72 feet long and 40 feet wide. How long and wide is the drawing?

Answer 1

Step-by-step explanation

We have the scale of the drawing as 1 inch to 8 feet.

This means that 1 inch on the drawing means 8 feet in actual measurement.

1 feet = 12 inches

So, 8 feet = 12 * 8 = 96 inches

So, the scale is:

1 inch to 96 inches

=> 1 : 96

The actual measurement of the basement is 72 feet long and 40 feet wide.

Convert to inches, that is 864 inches long and 480 inches wide.

For the length:

Using the scale:

1 inch = 96 inches

x inches = 864 inches

Cross-multiply:

x * 96 = 1 * 864

x = 864 / 96

x = 9 inches

The basement is 9 inches long on the drawing.

For the width:

Using the scale:

1 inch = 96 inches

x inches =