Question
Use the image to answer the question.
An illustration shows a triangle with a base labeled 8 inches. A line runs through the center of the triangle from the apex to the base. This perpendicular height is labeled 5 inches.
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)
Responses
6.4 square inches
3.2 square inches
20 square inches
1.6 square inches
The area of a triangle can be calculated using the formula: Area = 0.5 * base * height.
In Crystal's scale drawing, the height is 2 inches, and the base is still 8 inches.
Substitute the values into the formula:
Area = 0.5 * 8 * 2
Area = 8
Therefore, the area of Crystal's scale drawing is 8 square inches.
Correct response:
20 square inches
A triangular flag has a height of 15 inches and a base length of 25 inches. Magnolia makes a scale drawing of the flag in which the base length is 10 inches. What is the area of Magnolia’s scale drawing? Solve the problem by computing the actual area from the scale drawing. Show your work.(4 points)
Firstly, let's calculate the area of the original flag using the formula: Area = 0.5 * base * height.
Area = 0.5 * 25 * 15
Area = 0.5 * 375
Area = 187.5 square inches
Now let's calculate the scale factor:
Scale Factor = New base length / Original base length
Scale Factor = 10 / 25
Scale Factor = 0.4
To find the area of Magnolia's scale drawing, we need to square the scale factor and multiply it by the original area:
Area of Scale Drawing = (Scale Factor)^2 * Original Area
Area of Scale Drawing = 0.4^2 * 187.5
Area of Scale Drawing = 0.16 * 187.5
Area of Scale Drawing = 30
Therefore, the area of Magnolia's scale drawing is 30 square inches.