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?
A. 6.4 square inches
B. 3.2 square inches
C. 20 square inches
D. 1.6 square inches
B. 3.2 square inches
To find the area of the scale drawing, we need to first find the scale factor between the actual triangle and the scale drawing. The scale factor can be found by dividing the height of the scale drawing by the actual height: 2 inches / 5 inches = 0.4.
Next, we need to find the base of the scale drawing by multiplying the actual base by the scale factor: 8 inches * 0.4 = 3.2 inches.
Now that we have the height and base of the scale drawing, we can find the area by using the formula for the area of a triangle: (base * height) / 2 = (3.2 * 2) / 2 = 6.4 / 2 = 3.2 square inches.