High School

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**Question 1 (Multiple Choice, Worth 4 Points)**

Calculate the area of the regular pentagon below:

- A regular pentagon with a side length of 11.8 inches and a dotted line from the center to the middle of a side of 8.1 inches.

Options:
A. 164.025 square inches
B. 238.95 square inches
C. 351.78 square inches
D. 477.9 square inches

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**Question 2 (Multiple Choice, Worth 4 Points)**

On a bicycle trail, the city is painting arrows like the one shown below:

- An upward-pointing arrow with a height of 15 cm and a length of 13 cm. The rectangular base of the arrow has a length of 11 cm and a height of 12 cm.

Calculate the area of the arrow by decomposing it into rectangles and triangles.

Options:
A. 148.5 square centimeters
B. 151.5 square centimeters
C. 171 square centimeters
D. 195 square centimeters

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**Question 3 (Fill-In-The-Blank, Worth 4 Points)**

Calculate the area of the figure below using the following information:

- Area of triangle ABC = 7.95 square units
- Area of triangle ACD = 9.8 square units
- Area of triangle AED = 8.75 square units

The area of the figure ABCDE is ______ square units.

Answer for Blank 1: ______

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**Question 4 (Multiple Choice, Worth 4 Points)**

Calculate the area of the irregular polygon shown below:

- Image of the letter E with a height of 10 inches, a width of 5 inches, and an inside space with a height of 3 inches and a width of 4 inches.

Options:
A. 21 square inches
B. 22 square inches
C. 26 square inches
D. 29 square inches

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**Question 5 (Fill-In-The-Blank, Worth 4 Points)**

An irregular polygon is shown below:

- Image of an irregular polygon with a length of 9 units and a height of 4 units labeled on the left side. The top side has a length of 4 units, and the side adjacent to it on the right is 2 units.

The area of the irregular polygon is ____ square units.

Answer for Blank 1: ______

Answer :

Final answer:

Area calculations vary depending on the shape, from using specific formulas for regular shapes to decomposition methods for irregular forms.

Explanation:

Calculating Areas of Shapes

The area of different shapes can be calculated using specific formulas or, in the case of irregular shapes, by decomposition into simpler shapes where such formulas can be applied. For regular polygons like a pentagon, a formula involving the apothem (the dotted line from the center to the middle of the side) and the perimeter can be used. For composite shapes like an arrow, decomposition into rectangles and triangles helps find the total area. For irregular polygons, the area can be found by summing the areas of constituent triangles if such a decomposition is possible. Lastly, calculating areas can also be approached by conceptual methods such as cutting and rearranging parts of a shape, as is sometimes done with triangles or rectangles.

Thanks for taking the time to read Question 1 Multiple Choice Worth 4 Points Calculate the area of the regular pentagon below A regular pentagon with a side length of 11 8. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada

Answer:

1). 238.95 (2nd one)

2). 151.5 (2nd one)

3). 106.5

4). 26 (3rd one)

5). 20

Explanation:

Not 100% sure, some of these I got online, others I didn't.