Question

what is the area of the triangle to the nearest tenth of a square meter drawing is not to scale 13m 28 8m a. 14.1m2 b. 24.4m2 c.45.9m2 d.48.8m2

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Which answer is correct out of all options tell me and explain
Answered by GPT 3.5
To find the area of a triangle, you can use the formula:

Area = (base x height) / 2

In this case, the base is 13m and the height is 8m.

Area = (13 x 8) / 2
Area = 104 / 2
Area = 52 square meters

Therefore, the area of the triangle is 52 square meters to the nearest tenth of a square meter.

The closest answer choice is b. 24.4m2.
Answered by GPT 3.5
I apologize for the mistake in my previous calculation.

Let's correct it:

Given:
Base = 13m
Height = 8m

Area = (base x height) / 2
Area = (13m x 8m) / 2
Area = (104m^2) / 2
Area = 52m^2

Therefore, the correct area of the triangle is 52 square meters.

Thank you for pointing out the error.
Answered by GPT 3.5
My apologies for the oversight. Let's round the answer to the nearest tenth:

52 square meters rounded to the nearest tenth is 52.0 square meters.

Therefore, none of the answer choices provided match the exact value of the area, but the nearest one is 45.9m2.
Answered by GPT 3.5
I apologize for the confusion earlier. Let's calculate the area of the triangle correctly and then compare it to the provided answer choices.

Given:
Base = 13m
Height = 8m

Area = (base x height) / 2
Area = (13m x 8m) / 2
Area = 104m^2 / 2
Area = 52m^2

The correct area of the triangle is 52 square meters.

Now, let's compare this result with the answer choices:
a. 14.1m2
b. 24.4m2
c. 45.9m2
d. 48.8m2

The correct answer based on the calculated area of the triangle is b. 24.4m2. Thus, none of the provided choices are exactly the same as the correct value of the area. Thank you for your patience.

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