Question

An engineer created a scale drawing of a building using a scale in which 0.25 inch represents 2 feet. The length of the actual building is 250 feet. What is the length in inches of the building in the scale drawing? Record your answer (to the hundredths place) in the box below.

Answer 1

The length of the building in the scale drawing is 31. 25 Inches

Explanation:

How to determine the value

From the information given, we have that;

Scale drawing was used

0. 25 inches represents 2 feet

The length of the building is 250 feet

Then,

If 0. 25 inches = 2 feet

Then x inches = 250 feet

cross multiply

x × 2 = 0. 25 × 2500

Multiply through, we have;

2x = 62. 5

Make 'x' the subject by dividing both sides by 2

2x/2 = 62. 5/ 2

x = 31. 25 Inches

Thus, the length of the building in the scale drawing is 31. 25 Inches

Answer 2

To find the length in inches of the building in the scale drawing, we can set up a proportion:

0.25 inches / 2 feet = x inches / 250 feet

Solving for x, we get:

x = (0.25 inches / 2 feet) * 250 feet

x = 31.25 inches

Therefore, the length of the building in the scale drawing is 31.25 inches.

Explanation:

To find the length in inches of the building in the scale drawing, we can set up a proportion:

0.25 inches / 2 feet = x inches / 250 feet

Solving for x, we get:

x = (0.25 inches / 2 feet) * 250 feet

x = 31.25 inches

Therefore, the length of the building in the scale drawing is 31.25 inches.