Crystal pets 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 is it 3.2 in.² 1.6 in.² 6.4 in.² are 20 in.².
To find the area of the triangle in the scale drawing, we must first determine the scale factor. The scale factor can be found by dividing the height of the actual triangle (5 inches) by the height of the scale drawing (2 inches).
Scale factor = 5 inches / 2 inches = 2.5
Next, we need to find the base of the triangle in the scale drawing by multiplying the base of the actual triangle (8 inches) by the scale factor.
Base of scale drawing = 8 inches * 2.5 = 20 inches
Now that we have the base (20 inches) and height (2 inches) of the scale drawing, we can calculate the area of the triangle using the formula:
Area = 0.5 * base * height
Area = 0.5 * 20 inches * 2 inches
Area = 10 square inches
Therefore, the area of Crystal's scale drawing of the triangle is 10 in², not 3.2 in², 1.6 in², 6.4 in², or 20 in².