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 3.2 square inches 3.2 square inches 1.6 square inches 1.6 square inches 6.4 square inches
To find the area of the scale drawing, we need to first calculate the scale factor between the actual triangle and the scale drawing.
The scale factor is calculated by dividing the height of the scale drawing by the height of the actual triangle:
Scale factor = 2 inches / 5 inches = 0.4
Next, we can use the scale factor to find the base of the scale drawing:
Base of scale drawing = scale factor * base of actual triangle
Base of scale drawing = 0.4 * 8 inches = 3.2 inches
Now, we can use the base and height of the scale drawing to find the area:
Area of scale drawing = (1/2) * base * height
Area of scale drawing = (1/2) * 3.2 inches * 2 inches
Area of scale drawing = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches.