Question

Octagon A has a side length of 4 inches, and an area of 32 square inches. Octagon B is similar to octagon A, and has a corresponding side length of 8 inches. What is the area of octagon B? Write your answer as a number.

Answer 1

128 square inches

Explanation:

The scale factor for area is the square of the scale factor for side length. The larger octagon has an area of ...

(8/4)²(32 in²) = 4·32 in² = 128 in²

The area of octagon B is 128 square inches.