Question

in a scale drawing of a house, 1 inch represents 4 feet.
scale
1 in : 4 ft
answer the following.
(a) in the scale drawing, the height of the house is 6 inches. what is the height of the real house?
(square) feet
(b) the length of the real house is 28 feet. what is the length of the house in the scale drawing?
(square) inches

Explanation:

Part (a)

Step1: Identify the scale factor

The scale is 1 inch represents 4 feet, so the conversion factor is 4 feet per inch.

Step2: Calculate the real height

To find the real height, multiply the scale - drawing height (6 inches) by the conversion factor (4 feet per inch). So, the height of the real house is $6\times4 = 24$ feet.

Part (b)

Step1: Identify the scale relationship

We know that 1 inch represents 4 feet, so to find the length in the scale drawing, we divide the real length by the number of feet per inch.

Step2: Calculate the scale - drawing length

The real length is 28 feet. We divide 28 by 4 (since 1 inch = 4 feet) to get the length in the scale drawing. So, $28\div4 = 7$ inches.

Answer:

(a) 24 feet
(b) 7 inches