First, we need to determine the scale factor used in Magnolia's scale drawing. Since the base length in the scale drawing is 10 inches and the actual base length is 25 inches, the scale factor is 10/25 = 0.4.
Next, we can calculate the height of the scale drawing by multiplying the scale factor by the actual height:
15 inches * 0.4 = 6 inches
Now, we can calculate the area of the scaled drawing by multiplying the scaled height and base length:
Area = 1/2 * base length * height
Area = 1/2 * 10 inches * 6 inches
Area = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 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)
3 answers
Make it simpler
Certainly! To find the area of Magnolia's scale drawing, we can use the scale factor.
The scale factor is 10/25 = 0.4.
Since the scale factor is 0.4, we can find the scaled height by multiplying the actual height by the scale factor:
Scaled height = 15 inches * 0.4 = 6 inches.
Now that we have the scaled height (6 inches) and base length (10 inches), we can calculate the area of the scaled drawing:
Area = 1/2 * base length * height
Area = 1/2 * 10 inches * 6 inches
Area = 30 square inches.
Therefore, the area of Magnolia's scale drawing is 30 square inches.
The scale factor is 10/25 = 0.4.
Since the scale factor is 0.4, we can find the scaled height by multiplying the actual height by the scale factor:
Scaled height = 15 inches * 0.4 = 6 inches.
Now that we have the scaled height (6 inches) and base length (10 inches), we can calculate the area of the scaled drawing:
Area = 1/2 * base length * height
Area = 1/2 * 10 inches * 6 inches
Area = 30 square inches.
Therefore, the area of Magnolia's scale drawing is 30 square inches.
3 answers