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. (In kids words)
To find the area of Magnolia's scale drawing, we need to use the concept of scale factor. The scale factor is the ratio of the length in the scale drawing to the actual length.
In this case, the base length in the scale drawing is 10 inches, while the actual base length is 25 inches. The scale factor is 10/25 = 2/5.
To find the height in the scale drawing, we can use the same scale factor. Since the height of the actual flag is 15 inches, the height in the scale drawing will be 15 * (2/5) = 6 inches.
Next, we can calculate the area of the scale drawing using the base length (10 inches) and the height (6 inches). The formula for the area of a triangle is 1/2 * base * height.
Therefore, the area of Magnolia's scale drawing is 1/2 * 10 * 6 = 30 square inches.
So, the area of Magnolia's scale drawing is 30 square inches.
Can you make it a bit shorter please
To find the area of Magnolia's scale drawing, we use the scale factor of 10/25 = 2/5 to scale down the dimensions. The height of the scale drawing is 15 inches * 2/5 = 6 inches.
Then, we calculate the area of the scale drawing using the formula for the area of a triangle: 1/2 * base * height = 1/2 * 10 * 6 = 30 square inches.
Therefore, the area of Magnolia's scale drawing is 30 square inches.