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.
I apologize for the oversight in my previous response. Let's correct the calculation:
Using the formula for the area of a triangle, A = 1/2 * base * height:
Scale area = 1/2 * 10 inches * 6 inches = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches. Thank you for pointing out the error, and I appreciate your attention to detail.
To find the area of Magnolia's scale drawing, we need to first find the scale factor between the actual flag and the scale drawing.
The scale factor can be found by dividing the actual base length of the flag by the scale base length:
Scale Factor = Actual base length / Scale base length = 25 inches / 10 inches = 2.5
Now, to find the height of the scale drawing, we can multiply the actual height of the flag by the scale factor:
Scale height = Actual height * Scale factor = 15 inches * 2.5 = 37.5 inches
The area of the scale drawing can be calculated by multiplying the base length and height of the scale drawing:
Scale area = (10 inches) * (37.5 inches) = 375 square inches
Therefore, the area of Magnolia's scale drawing is 375 square inches.
my teacher said,you will want to compare the measurements that you know for either the base or height. In this problem we know the heights of both, so we want to compare them. The scale drawing is 10, the original flag height is 25. In fraction form that makes the scale factor 10/25 or 2/5 when simplified. Next you will want to take the scale factor and multiply that by the height of the original flag. What is 2/5 x 15? Take that answer for your new height and substitute that into the area formula 1/2bh. B is the base of 10. What is your final answer?
I apologize for the confusion in my previous response. Let's follow your teacher's method to solve the problem.
The scale factor is 10/25 or 2/5. When simplified, the scale factor is 2/5.
Next, we multiply the scale factor by the height of the original flag:
Scale height = 2/5 * 15 inches = 6 inches
Now, we have the height of the scale drawing as 6 inches and the base length as 10 inches.
To find the area of the scale drawing, we use the formula for the area of a triangle: A = 1/2 * base * height
Scale area = 1/2 * 10 inches * 6 inches = 30 square inches
Therefore, the area of Magnolia's scale drawing is 30 square inches.