Section C Section C Checkpoint

Problem 1

A town is building a rectangular playground with fencing all around it. The area of the playground is 99 square yards. One side of the playground needs 11 yards of fencing.

How much fencing is needed to enclose the entire playground? Explain or show your reasoning.

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Solution

40 yards of fencing. Sample response: 9×11=999 \times 11 = 99, so the second side of the playground is 9 yards. This means two sides are 11 yards and two sides are 9 yards. 11+11+9+9=4011 + 11 + 9 + 9 = 40

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Sample Response

40 yards of fencing. Sample response: 9×11=999 \times 11 = 99, so the second side of the playground is 9 yards. This means two sides are 11 yards and two sides are 9 yards. 11+11+9+9=4011 + 11 + 9 + 9 = 40

Problem 2

  1. Draw a rectangle that has the same perimeter as Rectangle N but has a different area. Label it P. What is the area of P?

  2. Draw a rectangle that has the same area as Rectangle N but has a different perimeter. Label it Q. What is the perimeter of Q?
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Solution
Sample response:
  1. 25 square units
  2. 28 units

3 rectangles on a dot grid. Q. P. N.

Show Sample Response
Sample Response
Sample response:
  1. 25 square units
  2. 28 units

3 rectangles on a dot grid. Q. P. N.