Question

a rectangle measures 4 inches by 10 inches. it is dilated using a scale factor of 2.5. what is the area in square inches of the dilated rectangle?
a. 160
b. 40
c. 250
d. 2,500

Answer 1

To find the area of the dilated rectangle, first calculate the dimensions of the dilated rectangle using the given scale factor of 2.5.

1. **Calculate the new dimensions:**
- Original length = 10 inches
- Original width = 4 inches
- New length = Original length × Scale factor = 10 inches × 2.5 = 25 inches
- New width = Original width × Scale factor = 4 inches × 2.5 = 10 inches

2. **Calculate the area of the dilated rectangle:**
- Area = Length × Width = 25 inches × 10 inches = 250 square inches

Therefore, the area of the dilated rectangle is **250 square inches**.

The correct answer is **c. 250**.