Question

an art class is painting a rectangular mural for a community festival. the students planned the mural with a diagram that is 60 in. long and 16 in. high. the mural is 64 in. high. what is its length?
96 in.
120 in.
64 in.
240 in.

Explanation:

Step1: Set up proportion

Since the diagram and the mural are similar rectangles, the ratios of their corresponding sides are equal. Let the length of the mural be $x$. The ratio of length to height in the diagram is $\frac{60}{16}$, and in the mural is $\frac{x}{64}$. So we have the proportion $\frac{60}{16}=\frac{x}{64}$.

Step2: Cross - multiply

Cross - multiplying gives us $16x = 60\times64$.

Step3: Solve for $x$

First, calculate $60\times64 = 3840$. Then $x=\frac{3840}{16}=240$.

Answer:

240 in.