To find the area of the scale drawing, we need to first find the scale factor. The scale factor is the ratio of the length in the scale drawing to the length in the actual object.
Scale factor = Height of scale drawing / Height of actual object
Scale factor = 2 inches / 5 inches
Scale factor = 0.4
Now, to find the area of the scale drawing, we need to square the scale factor and multiply it by the area of the actual object.
Area of scale drawing = (scale factor)^2 x Area of actual object
Area of scale drawing = (0.4)^2 x (1/2) x base x height
Area of scale drawing = 0.16 x (1/2) x 8 x 5
Area of scale drawing = 0.16 x 20
Area of scale drawing = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches. The correct answer is:
3.2 square inches
Area and Perimeter Unit Test 8 of 158 of 15 Items Question 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 6.4 square inches 6.4 square inches 3.2 square inches 3.2 square inches 1.6 square inches
1 answer
1 answer