Question

A rectangle measures 5 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 312.5 312.5 250 250 50 50 100 100 278.3

Answer 1

To find the area of the dilated rectangle, we first determine the new dimensions after the dilation.

The original dimensions of the rectangle are:
- Width = 5 inches
- Length = 10 inches

With a scale factor of 2.5, we can calculate the new dimensions:
- New Width = 5 inches × 2.5 = 12.5 inches
- New Length = 10 inches × 2.5 = 25 inches

Next, we can find the area of the dilated rectangle using the formula for the area of a rectangle (Area = Width × Length):

Area = New Width × New Length = 12.5 inches × 25 inches = 312.5 square inches.

Thus, the area of the dilated rectangle is **312.5 square inches**.