Question
Use the image to answer the question.
An illustration shows a triangle with a base labeled 8 inches. A line runs through the center of the triangle from the apex to the base. This perpendicular height is labeled 5 inches.
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
1.6 square inches
1.6 square inches
20 square inches
3.2 square inches
To find the area of the scale drawing, we use the scale factor to calculate the dimensions of the base in the scale drawing. So, if the height is 5 inches and the scale height is 2 inches, the scale factor is 2/5 = 0.4.
Therefore, the base in the scale drawing would be 8 inches x 0.4 = 3.2 inches.
Then, the area of the scale drawing would be 1/2 x base x height = 1/2 x 3.2 x 2 = 3.2 square inches.