Answer:
2. do part 3, then subtract area not painted from the overall area
3. triangle: 16 ft²; semicircle: 6.28 ft²; rectangle: 48 ft²
4. 57.72 ft²
Explanation:
2.
The area that needs to be painted can be found by determining the overall area of the shape and subtracting the area that is not painted.
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3.
The area of the triangle is given by the formula:
A = 1/2bh
A = 1/2(8 ft)(4 ft) = 16 ft²
The area of the semicircle is ...
A = 1/2πr²
A = 1/2(3.14)(2 ft)² = 6.28 ft²
The area of the rectangle is ...
A = bh
A = (8 ft)(6 ft) = 48 ft²
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4.
The triangle and rectangle are painted. They constitute the overall shape of the set piece. The semicircular window is a hole, so does not need to be painted. Then the painted area is ...
triangle area + rectangle area - semicircle area
= 16 ft² +48 ft² -6.28 ft² = 57.72 ft² . . . painted area