Since we know the shapes that make up the rocket, we can find their individual areas and add them together to find the total area of the rocket.
Area of triangle: (1/2) base x height = (1/2) x 3 inches x 4 inches = 6 square inches
Area of rectangle: length x width = 3 inches x 10 inches = 30 square inches
Area of trapezoid: (1/2) (base 1 + base 2) x height = (1/2) (3 inches + 5 inches) x 2 inches = 8 square inches
Total area of rocket = 6 square inches + 30 square inches + 8 square inches = 44 square inches
Therefore, the area of the figure shown (the rocket) is 44 square inches.
An image of a rocket is shown. The rocket is made up of a triangle, a rectangle, and a trapezoid. The triangle at the top of the rocket has a base of length 3 inches and a height of 4 inches. The rectangle in the middle of the rocket has a height of 10 inches and a length of 3 inches. The trapezoid at the bottom of the rocket has one base of length 3 inches at the top, another base of length 5 inches at the bottom, and a height of 2 inches.
Use familiar figures to find the area of the figure shown. Show all work.
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