Question

Marc draws a rectangle with a height of 6-inches and a base of 8-inches. He dilates the triangle by a scale factor of 0.5, or 1/2. What is the area of the dilated rectangle? The area of the dilated rectangle is _ square inches.

Answer 1

The original area is 6 × 8 = 48 in². Scaling lengths by 1/2 scales area by (1/2)² = 1/4, so the new area is 48 × 1/4 = 12 square inches.