Solve the problem.
-Suppose you build an architectural model of a new concert hall using a scale factor of 39. How will the surface area of the actual concert hall compare to the surface area of the scale model?
A)39 times as great
B)1521 times as great
C)78 times as great
D)59,319 times as great

Question

Quizplus · Accepted Answer

The surface area of similar shapes is proportional to the square of the scale factor. Since the scale factor is 39, the surface area of the actual concert hall will be $39^2 = 1521$ times as great as the surface area of the scale model.

Solve the Problem. -Suppose You Build an Architectural Model of a New Concert