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

Answer 1

To find the area of the dilated rectangle, we first need to determine the new dimensions after applying the scale factor of 2.5.

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

Applying the scale factor of 2.5:
- New Length = 10 inches × 2.5 = 25 inches
- New Width = 4 inches × 2.5 = 10 inches

Now, we can calculate the area of the dilated rectangle using the formula for the area of a rectangle, which is:
\[
\text{Area} = \text{Length} \times \text{Width}
\]

Calculating the area:
\[
\text{Area} = 25 \, \text{inches} \times 10 \, \text{inches} = 250 \, \text{square inches}
\]

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