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? what is the area of the scale

Answer 1

The area of a triangle is given by the formula: 0.5 * base * height.

For the original triangle:
Area = 0.5 * 8 inches * 5 inches = 20 square inches.

In the scale drawing:
Let x be the base of the scale drawing.
Since the height of the scale drawing is 2 inches and the original height is 5 inches, the scale factor for the height is 2/5. Therefore, the base of the scale drawing is also scaled by the same factor. So, x = 8 inches * (2/5) = 16/5 = 3.2 inches.

Area of the scale drawing = 0.5 * 3.2 inches * 2 inches = 3.2 square inches.

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