Section C Section C Checkpoint

Problem 1

Priya and her aunt wanted to see how far each could throw a disc. Priya’s aunt’s throw was 52 yards, which was 4 times the distance of Priya’s throw.

What was the distance of Priya’s throw in feet? Explain or show your reasoning.

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Solution

39 feet. Sample responses:

Priya’s throw is $52 \div 4$ or 13 yards. One yard is 3 feet, so 13 yards is $13 \times 3$ or 39 feet.
One yard is 3 feet, so 52 yards is 156 feet. This is 4 times Priya’s distance. I know $160 = 4 \times 40$ and 156 is 4 less than 160, so $156 = 4 \times 39$ .

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Sample Response

39 feet. Sample responses:

Priya’s throw is $52 \div 4$ or 13 yards. One yard is 3 feet, so 13 yards is $13 \times 3$ or 39 feet.
One yard is 3 feet, so 52 yards is 156 feet. This is 4 times Priya’s distance. I know $160 = 4 \times 40$ and 156 is 4 less than 160, so $156 = 4 \times 39$ .

Problem 2

A rectangle has a width of $2 \frac {1}{4}$ inches. The perimeter of the rectangle is 13 inches. What is the length of the rectangle? Explain or show your reasoning.

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Solution

$4\frac{1}{4}$ inches. Sample response: The two $2\frac{1}{4}$ -inch sides make up $2\frac{1}{4} + 2\frac{1}{4}$ or $4\frac{2}{4}$ inches of the perimeter. The other two sides together are $13 - 4\frac{2}{4}$ or $8\frac{2}{4}$ inches long. Each of those sides is $4 \frac{1}{4}$ inches long because $2 \times 4\frac{1}{4} = 8\frac{2}{4}$ .

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Sample Response