To find the area of the scale drawing, we need to use the scale factor between the actual triangle and the scale drawing. The scale factor is the ratio of the height in the scale drawing to the actual height.
Scale factor = 2 inches (height of scale drawing) / 5 inches (actual height) = 2/5 = 0.4
To find the area of the scale drawing, we will square the scale factor and multiply by the area of the actual triangle.
Area of scale drawing = (0.4)^2 * 1/2 * base * height
Area of scale drawing = (0.16) * 1/2 * 8 * 2
Area of scale drawing = 0.16 * 8
Area of scale drawing = 1.6 square inches
Therefore, the area of Crystal's scale drawing is 1.6 square inches.
1.6 square inches
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
20 square inches
20 square inches
1.6 square inches
1.6 square inches
6.4 square inches
6.4 square inches
3.2 square inches
3.2 square inches
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1 answer