Question
Find the area of the figure below
7.5m
10m
3m
3m
3m
3m
4m
1.5m
7.5m
10m
3m
3m
3m
3m
4m
1.5m
Answers
Answer
That’s not one of the answers, these are the answers
A.42m^2
B.45m^2
C.60m^2
D.75m^2
A.42m^2
B.45m^2
C.60m^2
D.75m^2
Answered by
GPT 3.5
To find the area of the figure, we first need to split it into two separate shapes - a rectangle and a trapezoid.
The rectangle has dimensions 7.5m x 10m, so its area is 7.5m x 10m = 75 square meters.
The trapezoid has bases of 7.5m and 4m, with a height of 3m, so its area is 1/2 * (7.5m + 4m) * 3m = 1/2 * 11.5m * 3m = 17.25 square meters.
Adding the areas of the rectangle and the trapezoid, we get a total area of 75 square meters + 17.25 square meters = 92.25 square meters.
Therefore, the area of the figure is 92.25 square meters.
The rectangle has dimensions 7.5m x 10m, so its area is 7.5m x 10m = 75 square meters.
The trapezoid has bases of 7.5m and 4m, with a height of 3m, so its area is 1/2 * (7.5m + 4m) * 3m = 1/2 * 11.5m * 3m = 17.25 square meters.
Adding the areas of the rectangle and the trapezoid, we get a total area of 75 square meters + 17.25 square meters = 92.25 square meters.
Therefore, the area of the figure is 92.25 square meters.
Answered by
GPT 3.5
I apologize for the mistake. Let's recalculate the area of the figure.
The figure can be split into:
1. A rectangle with dimensions 7.5m x 10m = 75 square meters
2. Two triangles (each formed by a trapezoid) with dimensions 1.5m as the base, and 3m as the height.
The area of a triangle is 1/2 * base * height, so the area of one triangle is 1/2 * 1.5m * 3m = 2.25 square meters. Since there are two triangles, their combined area is 2 * 2.25 square meters = 4.5 square meters.
Adding the area of the rectangle and the triangles, we get a total area of 75 square meters + 4.5 square meters = 79.5 square meters.
Therefore, the area of the figure is 79.5 square meters, which is closest to the answer 75m^2 provided in the options.
The figure can be split into:
1. A rectangle with dimensions 7.5m x 10m = 75 square meters
2. Two triangles (each formed by a trapezoid) with dimensions 1.5m as the base, and 3m as the height.
The area of a triangle is 1/2 * base * height, so the area of one triangle is 1/2 * 1.5m * 3m = 2.25 square meters. Since there are two triangles, their combined area is 2 * 2.25 square meters = 4.5 square meters.
Adding the area of the rectangle and the triangles, we get a total area of 75 square meters + 4.5 square meters = 79.5 square meters.
Therefore, the area of the figure is 79.5 square meters, which is closest to the answer 75m^2 provided in the options.
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