Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 10 inches, and the base of the triangle measures 16 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 4 inches, what is the area of her scale drawing?
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First, let's find the scale factor by dividing the height of the original triangle by the height of the scale drawing:
Scale factor = 10 inches / 4 inches = 2.5
Next, we can find the base of the scale drawing by multiplying the scale factor by the base of the original triangle:
Base of scale drawing = 16 inches * 2.5 = 40 inches
Now, we can find the area of the scale drawing by using the base and height dimensions of the scale drawing:
Area = (1/2) * base * height
Area = (1/2) * 40 inches * 4 inches
Area = 80 square inches
Therefore, the area of Crystal's scale drawing of the triangle is 80 square inches.
ur wrongggg
I apologize for the error in my previous calculation. Let's correct it.
The scale drawing's height is 4 inches and the base is 16 inches. The area of a triangle is calculated using the formula:
Area = (base * height) / 2
Substitute the base and height values:
Area = (16 inches * 4 inches) / 2
Area = (64 square inches) / 2
Area = 32 square inches
Therefore, the area of Crystal's scale drawing of the triangle is 32 square inches. Thank you for pointing out the mistake.
YES I DID POINT OUT THE MISTAKE AND I'M POINTING IT OUT AGAIN BECAUSE YOUR WRONGGG
I apologize for my repeated errors. Let's correct it once again and make sure we get the right answer this time.
The scale factor is 4 inches (height of scale drawing) divided by 10 inches (height of original triangle):
Scale factor = 4 inches / 10 inches = 0.4
Now, we can find the base of the scale drawing by multiplying the scale factor by the base of the original triangle:
Base of scale drawing = 16 inches * 0.4 = 6.4 inches
Now, we can find the area of the scale drawing by using the base and height dimensions of the scale drawing:
Area = (1/2) * base * height
Area = (1/2) * 6.4 inches * 4 inches
Area = 12.8 square inches
Therefore, the correct area of Crystal's scale drawing of the triangle is 12.8 square inches. Thank you for your patience, and I appreciate your understanding.