Arthur is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches * 12 1 4 inches. He 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 Arthur need for his project?

Question

Deanna Frank

Mathematics

24 January, 15:28

Arthur is cutting construction paper into rectangles for a project. He needs to cut one rectangle that is 16 inches * 12 1 4 inches. He 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 Arthur need for his project?

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Answers (1)

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Laci Mcconnell · Answer 1

303.63 sq inches

Step-by-step explanation:

We need to find the area of the two rectangles he cuts and add them together.

The area of a rectangle is given as:

A = L * B

The first rectangle is 16 inches * 12 1/4 inches. Its area is:

A = 16 * 12 1/4 = 16 * 49/4 = 196 sq inches

The second rectangle is 10 1/2 inches by 10 1/4 inches. Its area is:

A = 10 1/2 * 10 1/4 = 21/2 * 41/4 = 107.63 sq inches

The total square inches of construction paper that he needs is:

196 + 107.63 = 303.63 sq inches