Area and Perimeter Unit Test 8 of 158 of 15 Items Question Use the image to answer the question. Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches, and the base of the triangle measures 8 inches. Crystal makes a scale drawing of the triangle. If the height of her scale drawing is 2 inches, what is the area of her scale drawing? (1 point) Responses 6.4 square inches 6.4 square inches 3.2 square inches 3.2 square inches 20 square inches 20 square inches 1.6 square inches
To find the area of the scale drawing, we need to use the scale factor to adjust the measurements.
The scale factor is calculated as the ratio of the actual height to the height of the scale drawing:
5 inches / 2 inches = 2.5
Now, we need to apply this scale factor to the area formula for a triangle:
Area = 0.5 * base * height
For the scale drawing:
Base = 8 inches (unchanged)
Height = 2 inches (scale factor applied)
Area = 0.5 * 8 * 2 = 8 square inches
Therefore, the area of the scale drawing is 8 square inches.
10 inches
2 inches
1 inch
2.5 inches
Next, we need to apply the scale factor to the area formula for a triangle:
Area = 0.5 * base * height
For the scale drawing:
Base = 8 inches (unchanged)
Height = 2 inches (scale factor applied)
Area = 0.5 * 8 * 2 = 8 square inches
Therefore, the area of the scale drawing is 8 square inches.
that is not a optioun
My apologies for the oversight. Let's recalculate with the scale factor included.
Since the scale factor is 5/2 = 2.5, all dimensions need to be multiplied by 2.5.
Base of scale drawing: 8 inches * 2.5 = 20 inches
Height of scale drawing: 2 inches * 2.5 = 5 inches
Now, calculate the area of the scale drawing:
Area = 0.5 * base * height
Area = 0.5 * 20 * 5
Area = 50 square inches
Therefore, the area of Crystal's scale drawing is 50 square inches.