Question

a picture of a school’s mascot is 18 in. wide and 24 in. long. it is enlarged proportionally to banner size. if the width is enlarged to 63 in., what is the length of the banner? 47.25 in 71 in 84 in 80

Explanation:

Step1: Set up proportion

Let \( x \) be the length of the banner. The ratio of width to length should be equal for the original and enlarged. So, \(\frac{18}{24}=\frac{63}{x}\)

Step2: Cross - multiply

\( 18x = 24\times63 \)

Step3: Calculate right - hand side

\( 24\times63 = 1512 \)

Step4: Solve for \( x \)

\( x=\frac{1512}{18}=84 \)

Answer:

84 in