Section C Section C Checkpoint

Problem 1

Find the area of the figure. Explain or show your reasoning.

6-sided shape.
6-sided shape. Straight sides. All side lengths meet at right angles. Side lengths. Bottom, 9 cm. Right side rises 5 cm, then goes left 2 cm, and goes up 3 cm. Top side length, 7 cm. Left side length, 8 cm.

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Solution

66 square centimeters. Sample responses:

  • I can cut the figure vertically into a rectangle that is 8 cm by 7 cm and a rectangle that is 5 cm by 2 cm. The areas of those rectangles are 56 square centimeters and 10 square centimeters, so the total area is 66 square centimeters.

  • 8×9=728 \times 9 = 72, 3×2=63 \times 2 = 6, 72−6=6672 - 6 = 66

Show Sample Response
Sample Response

66 square centimeters. Sample responses:

  • I can cut the figure vertically into a rectangle that is 8 cm by 7 cm and a rectangle that is 5 cm by 2 cm. The areas of those rectangles are 56 square centimeters and 10 square centimeters, so the total area is 66 square centimeters.

  • 8×9=728 \times 9 = 72, 3×2=63 \times 2 = 6, 72−6=6672 - 6 = 66

Problem 2

The figure represents a garden. What is the area of the garden? Explain or show your reasoning.

Area diagram figure representing a garden, made of 2 rectangles, both 10 feet by 5 feet.

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Solution

100 square feet. Sample responses:

  • I can cut the garden vertically into 2 rectangles. The rectangle on the left is 5 feet by 10 feet, and it has an area of 50 square feet. The rectangle on the right is also 5 feet by 10 feet, and it has an area of 50 square feet. The total area is 100 square feet.
  • I can cut the garden horizontally into 2 rectangles. The rectangle on the bottom is 15 feet by 5 feet, so it has an area of 75 square feet. The rectangle on top is 5 feet by 5 feet, so it has an area of 25 square feet. The total area is 100 square feet.
Show Sample Response
Sample Response

100 square feet. Sample responses:

  • I can cut the garden vertically into 2 rectangles. The rectangle on the left is 5 feet by 10 feet, and it has an area of 50 square feet. The rectangle on the right is also 5 feet by 10 feet, and it has an area of 50 square feet. The total area is 100 square feet.
  • I can cut the garden horizontally into 2 rectangles. The rectangle on the bottom is 15 feet by 5 feet, so it has an area of 75 square feet. The rectangle on top is 5 feet by 5 feet, so it has an area of 25 square feet. The total area is 100 square feet.