Andrea was given a problem about the area of a rectangle. Her teacher asked her to see what the area would be if the width of the rectangle is a 4 -foot log and the length is made of two logs pushed together, a 2 -foot log and a 1 -foot log. She couldn't see how to do the computation because she knew the area had to be in square feet. She got 4 times 2 to be 8 square feet and 4 times 1 to be 4 feet. Andrea knew that they couldn't be the same units. How would you help her? Choose the correct answer below. A. She should have added instead of multiplied. The area is ( $$ 4 \mathrm{ft}+2 \mathrm{ft})+(4 \mathrm{ft}+1 \mathrm{ft}) $$, or 11 feet. B. She correctly found 4 ft times 1 ft to be 4 feet, but 4 ft times 2 ft is 8 feet. The area is 12 feet. C. She correctly found 4 ft times 2 ft to be 8 square feet, but 4 ft times 1 ft is 4 square feet. The area is 12 square feet. D. She should have added instead of multiplied. The area is $$ (4 \mathrm{ft}+2 \mathrm{ft})+(4 \mathrm{ft}+1 \mathrm{ft}) $$, or 11 square feet.

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UpStudy AI · Accepted Answer

1. The width of the rectangle is given as $$4$$ ft.
2. The length of the rectangle is made by placing a $$2$$-ft log and a $$1$$-ft log end-to-end. Thus, the total length is:
   $$
   2 \text{ ft} + 1 \text{ ft} = 3 \text{ ft}.
   $$
3. The area $$A$$ of a rectangle is given by:
   $$
   A = \text{width} \times \text{length}.
   $$
4. Substituting the given values:
   $$
   A = 4 \text{ ft} \times 3 \text{ ft} = 12 \text{ ft}^2.
   $$
5. Hence, the correct answer is:
   - Option C.
The area of the rectangle is 12 square feet.

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