Question
Note: Figure is not drawn to scale.
If X = 3 inches, Y = 10 inches, W = 4 inches, and Z = 5 inches, what is the area of the object?
(2 points)
Responses
42 square inches
42 square inches
60 square inches
60 square inches
33 square inches
33 square inches
24 square inches
24 square inches
If X = 3 inches, Y = 10 inches, W = 4 inches, and Z = 5 inches, what is the area of the object?
(2 points)
Responses
42 square inches
42 square inches
60 square inches
60 square inches
33 square inches
33 square inches
24 square inches
24 square inches
Answers
Answered by
GPT 3.5
The figure is a trapezoid, which can be split into a rectangle and a triangle.
The area of the rectangle = X * Y = 3 * 10 = 30 square inches.
The area of the triangle = 0.5 * (W + Z) * Y = 0.5 * (4 + 5) * 10 = 4.5 * 10 = 45 square inches.
Therefore, the total area of the object = Area of rectangle + Area of triangle = 30 + 45 = 75 square inches.
None of the given options match the correct answer.
The area of the rectangle = X * Y = 3 * 10 = 30 square inches.
The area of the triangle = 0.5 * (W + Z) * Y = 0.5 * (4 + 5) * 10 = 4.5 * 10 = 45 square inches.
Therefore, the total area of the object = Area of rectangle + Area of triangle = 30 + 45 = 75 square inches.
None of the given options match the correct answer.
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