6.4 square inches
To find the scale factor, divide the height of the actual triangle by the height of the scale drawing. 5 ÷ 2 = 2.5
Multiply the scale factor by the area of the actual triangle to find the area of the scale drawing. 8 inches (base) x 5 inches (height) x 2.5 = 100 square inches.
Since the height of the scale drawing is 2 inches, the base of the scale drawing can be calculated using the scale factor. 8 ÷ 2.5 = 3.2 inches.
Finally, calculate the area of the scale drawing. 3.2 inches (base) x 2 inches (height) = 6.4 square inches.
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
20 square inches
20 square inches
1.6 square inches
1.6 square inches
3.2 square inches
3.2 square inches
6.4 square inches
1 answer