Question

Natasha is cutting construction paper into rectangles for a project. She needs to cut one rectangle that is 20 inches × 15 1 4 inches. She needs to cut another rectangle that is 10 1 2 inches by 10 1 4 inches. How many total square inches of construction paper does Natasha need for her project? Mixed number

Answer 1

To find the total area of construction paper needed for the project, we need to find the area of each rectangle and then add them together.

The area of the first rectangle is:

20 inches × 15 1/4 inches = 20 × (60/4 + 1/4) = 20 × 61/4 = 20 × 15.25 = 305 square inches

The area of the second rectangle is:

10 1/2 inches × 10 1/4 inches = (10 × 2 + 1/2) × (40/4 + 1/4) = 21 × 41/4 = 21 × 10.25 = 215.25 square inches

Therefore, the total area of construction paper needed for the project is:

305 + 215.25 = 520.25 square inches

So, Natasha needs 520 1/4 square inches of construction paper for her project.