Question

Wyatt is enlarging a rectangular drawing using a scale factor of 2.5. What will be the area of the enlarged drawing? A. 74.25 square inches B. 92.5 square inches C. 214.5 square inches D. 231.25 square inches

Answer 1

The area of the enlarged drawing include the following: D. 231.25 square inches.

In Mathematics and Geometry, the area of a rectangle can be calculated by using the following mathematical equation:

A = LW

Where:

• A represent the area of a rectangle.
• W represent the width of a rectangle.
• L represent the length of a rectangle.

By substituting the given side lengths into the formula for the area of a rectangle, we have the following;

Area of rectangle = 7.4 × 5

Area of rectangle = 37 square inches

Area of enlarged rectangular drawing = Area of rectangle × (scale factor
`)^2`

Area of enlarged rectangular drawing = 37 ×
`2.5^(2)`

Area of enlarged rectangular drawing = 231.25 square inches.

Complete Question:

Wyatt is enlarging a rectangular drawing using a scale factor of 2.5. The dimensions of the rectangular drawing are 7.4 in by 5 in.

What will be the area of the enlarged drawing?

A. 74.25 square inches B. 92.5 square inches C. 214.5 square inches D. 231.25 square inches