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)
(ty)
First, we need to find the scale factor by dividing the actual length by the scale length:
Scale factor = Actual length / Scale length
Scale factor = 25 inches / 10 inches
Scale factor = 2.5
Next, we need to find the height of the scale drawing by multiplying the actual height by the scale factor:
Scale height = Actual height * Scale factor
Scale height = 15 inches * 2.5
Scale height = 37.5 inches
Now, we can find the area of the scale drawing by using the base length and height:
Area = 0.5 * base length * height
Area = 0.5 * 10 inches * 37.5 inches
Area = 0.5 * 375 square inches
Area = 187.5 square inches
Therefore, the area of Magnolia's scale drawing is 187.5 square inches.
shorter pls
To find the area of Magnolia's scale drawing, first, we determine the scale factor by dividing the actual length by the scale length: 25 inches / 10 inches = 2.5.
Then, we find the scale height by multiplying the actual height by the scale factor: 15 inches * 2.5 = 37.5 inches.
Finally, we calculate the area of the scale drawing using the base length and height: 0.5 * 10 inches * 37.5 inches = 187.5 square inches.
Therefore, the area of Magnolia's scale drawing is 187.5 square inches.