Crystal cuts a piece of wood into the shape of a triangle. The height of the triangle is 5 inches and the base 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?
To find the area of the scale drawing, we need to find the scale factor first. The scale factor is calculated by dividing the height of the actual triangle by the height of the scale drawing.
Scale factor = Actual height / Height of scale drawing
Scale factor = 5 inches / 2 inches
Scale factor = 2.5
Now, we can calculate the base of the scale drawing by multiplying the base of the actual triangle by the scale factor.
Base of scale drawing = Base of actual triangle * Scale factor
Base of scale drawing = 8 inches * 2.5
Base of scale drawing = 20 inches
Now, we can calculate the area of the scale drawing using the formula for the area of a triangle:
Area = 0.5 * base * height
Area = 0.5 * 20 inches * 2 inches
Area = 10 square inches
Therefore, the area of Crystal's scale drawing of the triangle is 10 square inches.
The options are
20 square inches
6.4 square inches
3.2 square inches
1.6 square inches
Given that the height of the actual triangle is 5 inches and the height of the scale drawing is 2 inches, the scale factor is 5/2 = 2.5.
The base of the scaled down triangle is found by multiplying the base of the actual triangle by the scale factor:
Base of scale drawing = 8 inches * 2.5 = 20 inches
To find the area of the scale drawing, we use the formula for the area of a triangle:
Area = 0.5 * base * height
Area = 0.5 * 20 inches * 2 inches
Area = 10 square inches
So, the area of Crystal's scale drawing of the triangle is 10 square inches.
None of the options provided match the correct answer.