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The Theater Club draws a tree on the set background. The plan for the size of the tree is shown below. What is the approximate area they will
have to paint to fill in this tree?
5 ft
3 ft
0.2 ft
The top of the tree is a triangle. Its area is approximately ft².
The second layer of the tree is a trapezoid. Its area is approximately
The trunk of the tree is a rectangle. Its area is approximately
The total area of the tree is approximately
ft².
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The area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.

How to determine the area

1. Area of a triangle = 1/2 base × height

Area = 1/2 × 5 × 3

Area = 1/2 × 15

Area = 7. 5 ft²

2. Area of trapezoid = [tex]\frac{a + b}{2} h[/tex]

a = 4ft

b = 0. 2ft

h = 5ft

Area = [tex]\frac{4 + 0.2}{2}* 5[/tex]

Area = [tex]\frac{4.2}{2} * 5[/tex]

Area = 2.1 × 5

Area = 10. 5 ft²

3. Area of rectangle = length × width

Area of rectangle = 0. 2 × 4

Area of rectangle = 0. 8 ft²

4. Total area of tree = area of triangle + area of trapezoid + area of rectangle

Total area of tree = 7. 5 + 10. 5 + 0. 8

Total area of tree = 18. 8 ft²

Thus, the area of the triangle, trapezoid, rectangle and total area are 7. 5 ft², 10. 5 ft², 0.8 ft² and 18. 8 ft² respectively.

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