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)
1.6 square inches
6.4 square inches
20 square inches
3.2 square inches
To find the area of the scale drawing, we need to use the concept of scaling ratios.
The scale factor from the actual triangle to the scale drawing for the height is 2/5 and for the base is unknown.
The scale factor from the actual triangle to the scale drawing for the height is 2/5.
Let x be the scale factor for the base.
2/5 = x/8
x = 8*(2/5)
x = 3.2
The base of the triangle in the scale drawing is 3.2 inches.
Now, we can calculate the area of the scale drawing using the scaled dimensions:
(1/2) * base * height
= (1/2) * 3.2 * 2
= 3.2 square inches
So, the area of Crystal's scale drawing is 3.2 square inches.
Therefore, the correct answer is:
3.2 square inches