Question

in a scale drawing of a painting, 1 centimeter represents 8 inches.
scale
1 cm : 8 in
answer the following.
(a) in the scale drawing, the length of the painting is 4
centimeters. what is the length of the real painting?
inches
(b) the height of the real painting is 48 inches. what is the
height of the painting in the scale drawing?
centimeters

Explanation:

Part (a)

Step1: Identify the scale factor

The scale is \(1\) cm represents \(8\) inches, so the scale factor is \(8\) inches per centimeter.

Step2: Calculate real length

Given the scale drawing length is \(4\) cm, multiply by the scale factor: \(4\times8 = 32\) inches.

Step1: Identify the scale factor

The scale is \(1\) cm : \(8\) inches, so to find the drawing length, divide real length by \(8\).

Step2: Calculate drawing height

Given real height is \(48\) inches, divide by \(8\): \(\frac{48}{8}=6\) centimeters.

Answer:

\(32\)

Part (b)