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)
• 20 square inches
• 3.2 square inches
• 1.6 square inches
• 6.4 square inches
its 5 high
and 8 long at bttom
The actual area of the triangle is calculated using the formula A = 1/2 * base * height.
A = 1/2 * 8 * 5
A = 1/2 * 40
A = 20 square inches
Since the height of the scale drawing is 2 inches and the base is not given, we can determine the base of the scale drawing using proportions.
2/5 = b/8
b = (2*8)/5
b = 16/5
b = 3.2 inches
Now, we can calculate the area of the scale drawing using the same formula as above:
A = 1/2 * 3.2 * 2
A = 1/2 * 6.4
A = 3.2 square inches
Therefore, the area of Crystal's scale drawing is 3.2 square inches.