Title: Math 7 Area of Trapezoids and Polygons
Course: quiz duplicate error

Find the area of this trapezoid. Write down the steps you use.

[Image: Trapezoid 1]
Feedback: (10 + 15) *12 /2 = 150 cm squared

Find the area of this trapezoid. Write the steps you use.

[Image: Trapezoid 2]
Feedback: (6+9)*6 / 2 = 45 ft squared

Find the area of this regular hexagon. Write the steps you use.

[Image: Regular Hexagon]

Hint: The hexagon is made of 6 equal triangles.
Feedback: There are 6 equal triangles, each with height 12.1 and base 14. 12.1*14 /2 = 84.7 84.7*6 = 508.2 meters squared

Find the area of this trapezoid. Write the steps you use.

[Image: Trapezoid 3]
Feedback: (20 + 2)*9/2 = 99 inches squared

Find the area of this regular pentagon. Write the steps that you use.

[Image: Regular Pentagon]

Hint: The pentagon is made of 5 equal triangles.
Feedback: 5 equal triangles, each with base of 7.5 and height of 5. 7.5*5/2 = 18.75 18.75*5 = 93.75 centimeters squared

Find the area of this figure. Write the steps you use.

[Image: house-like figure]
Feedback: Area of square base is 3*3 = 9 feet squared Area of trapezoid is (2+3)*2/2 = 5 feet squared 9 + 5 = 14 feet squared total

The following figure was formed out of two equal triangles and a square.

Find the area of the figure. Write out the steps that you do.

[Image: figure]

[Image]
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Feedback: Two equal triangles and a square. The square is 2*2 = 4 inches squared. The triangles are each 2*5/2 = 5 inches squared 4 + 5 + 5 = 14 inches squared

Q: A figure is made up of two triangles. The triangles have the same base of 15 inches. One triangle has a height of 9 inches and one has a height of 11 inches. What is the total area of the figure?

[Image]
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- 150 in^2
- 300 in^2 (The figures are triangles, not rectangles.)
- 132 in^2 (The base of both triangles is 15.)
- 217.5 in^2 (Both the figures are triangles, so their area is 1/2bh.)
A: 150 in^2

Find the area of this figure. Write out the steps that you use.

[Image: Figure 2]

[Image]
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Feedback: Area of triangle is 7*9/2 = 31.5 Area of rectangle = 3*9 = 27 Area of parallelogram = 9*6 = 54 (height of parallelogram is 16-7-3) 31.5 + 27 + 54 = 112.5 units squared

Lin bought a tract of land for a new apartment complex. The drawing below shows the measurements of the sides of the tract. Approximately how many square feet of land did Lin buy? You may assume any angles that look like right angles are 90°.

 [Image: Land tract]

[Image]
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Feedback: Big triangle on right: 800*700/2 = 280000 Rectangle under: 300*1600 = 480000 Small triangle on top: 400*1000/2 = 200000 Total: 960,000 square feet

Q: Find the area of this trapezoid. Write your answer and the units. The units are feet squared or ft^2.

[Image: Trapezoid with bases 9 ft and 6 ft and height 6 ft.]
A: 45 feet squared / 45 / 45ft^2 / 45 ft^2

Q: Find the area of this regular hexagon. Write your answer with units. The units are meters squared or m^2.

[Image: A hexagon with side length 14 and apothem 12.1]

Hint: The hexagon is made of 6 equal triangles.
A: 508.2 meters squared / 508.2 m^2 / 508.2 / 508.2m^2

Q: Find the area of this trapezoid. Write your answer with units. The units are inches squared or in^2.

[Image: Trapezoid with bases 2 in and 20 in and height 9 in.]
A: 99 inches squared / 99 in^2 / 99in^2 / 99

Q: Find the area of this regular pentagon. Write your answer with units. The units are centimeters squared or cm^2.

[Image: Pentagon with side length 7.5 cm and apothem 5 cm]

Hint: The pentagon is made of 5 equal triangles.
A: 93.75 centimeters squared / 93.75 cm^2 / 93.75cm^2 / 93.75

Q: Find the area of this trapezoid. Write your answer with units. The units are centimeters squared or cm^2.

[Image: Trapezoid with bases 15 ft and 10 ft and height 12 ft.]
A: 150 centimeters squared / 150 cm^2 / 150cm^2 / 150