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?(1 point) Responses 160 160 250 250 2,500 2,500 40

Answer 1

To find the area of the dilated rectangle, we first need to calculate the dimensions after dilation.

The original dimensions of the rectangle are:
- Length = 10 inches
- Width = 4 inches

When the rectangle is dilated using a scale factor of 2.5, we multiply each dimension by 2.5:

- Dilated Length = 10 inches × 2.5 = 25 inches
- Dilated Width = 4 inches × 2.5 = 10 inches

Now, we can calculate the area of the dilated rectangle:

Area = Length × Width = 25 inches × 10 inches = 250 square inches

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