1 answer
(click or scroll down)
The area of a triangle is given by the formula:
Area = 1/2 * base * height
In this case, the base of the triangle is 8 inches and the height is 5 inches, so the area of the actual triangle is:
Area = 1/2 * 8 * 5 = 20 square inches
Since the scale drawing has a height of 2 inches, we need to find the corresponding base length on the scale drawing. We know that the ratio of heights between the actual triangle and the scale drawing is 5:2. So, the ratio of base lengths will also be 5:2.
Therefore, the base of the scale drawing is:
2/5 * 8 = 3.2 inches
Now, we can calculate the area of the scale drawing using the base of 3.2 inches and height of 2 inches:
Area = 1/2 * 3.2 * 2 = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches.