Crystal gets a piece of wood into the shape of a triangle The height of the triangle is 5 in and the base of the triangle measures 8 in Crystal makes a scale drawing of the triangle If the height of her scale drawing is 2 in what is the area of her scale drawing

1 answer

To find the area of Crystal's scale drawing, we first need to calculate the scale factor of her drawing. Since the height of the actual triangle is 5 inches and the height of the scale drawing is 2 inches, the scale factor is 2/5 = 0.4.

Next, we need to find the corresponding base of the scale drawing by multiplying the base of the actual triangle by the scale factor:
8 inches * 0.4 = 3.2 inches

Now that we have the base and height of the scale drawing, we can calculate the area using the formula for the area of a triangle:
Area = 1/2 * base * height
Area = 1/2 * 3.2 inches * 2 inches
Area = 3.2 square inches

Therefore, the area of Crystal's scale drawing of the triangle is 3.2 square inches.