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)
Math Short Answer Rubric (4 points)
Points Awarded Criteria
4
The answer is clear and correct.
The answer shows that the student used problem-solving skills and reasoning.
All work is shown or explained.
3
The answer is mostly correct. The student made small errors while solving.
The answer shows that the student used some problem-solving skills and reasoning.
Most work is shown or explained.
2
The answer is partially correct. The student made errors while solving.
The answer shows that the student used some problem-solving skills or reasoning.
Some work is shown or explained.
1
The answer is incorrect. The student made errors while solving.
The answer shows little problem-solving skills or reasoning.
Little or no work is shown.
0 The question is not answered.
First, we need to find the scale factor by dividing the actual base length by the scale drawing base length:
Scale factor = 25 inches / 10 inches = 2.5
Next, we need to find the height of the scale drawing by multiplying the actual height by the scale factor:
Scale drawing height = 15 inches * 2.5 = 37.5 inches
Now we can find the area of the scale drawing by using the scale drawing base length and height:
Area = 1/2 * base * height
Area = 1/2 * 10 inches * 37.5 inches
Area = 187.5 square inches
Therefore, the area of Magnolia's scale drawing is 187.5 square inches.