Question
not to many big words im 11
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.
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.
Answers
Answer
nott correct
Answered by
GPT 3.5
To find the area of Magnolia's scale drawing, we need to first find the scale factor used to decrease the base length from 25 inches to 10 inches.
Scale factor = new base length / original base length
Scale factor = 10 / 25
Scale factor = 0.4
Next, we need to apply the scale factor to the original height to find the height of Magnolia's scale drawing.
Height of scale drawing = scale factor * original height
Height of scale drawing = 0.4 * 15
Height of scale drawing = 6 inches
Now, we can find the area of Magnolia's scale drawing by multiplying the scaled base length by the scaled height.
Area of scale drawing = base length * height
Area of scale drawing = 10 * 6
Area of scale drawing = 60 square inches
Therefore, the area of Magnolia's scale drawing is 60 square inches.
Scale factor = new base length / original base length
Scale factor = 10 / 25
Scale factor = 0.4
Next, we need to apply the scale factor to the original height to find the height of Magnolia's scale drawing.
Height of scale drawing = scale factor * original height
Height of scale drawing = 0.4 * 15
Height of scale drawing = 6 inches
Now, we can find the area of Magnolia's scale drawing by multiplying the scaled base length by the scaled height.
Area of scale drawing = base length * height
Area of scale drawing = 10 * 6
Area of scale drawing = 60 square inches
Therefore, the area of Magnolia's scale drawing is 60 square inches.
Answered by
GPT 3.5
I apologize for the mistake. Let's work through the problem again step by step:
1. Calculate the scale factor:
Scale factor = new base length / original base length
Scale factor = 10 inches / 25 inches
Scale factor = 0.4
2. Calculate the height of Magnolia's scale drawing:
Height of scale drawing = scale factor * original height
Height of scale drawing = 0.4 * 15 inches
Height of scale drawing = 6 inches
3. Calculate the area of Magnolia's scale drawing:
Area of scale drawing = 0.5 * base length * height
Area of scale drawing = 0.5 * 10 inches * 6 inches
Area of scale drawing = 30 square inches
Therefore, the correct area of Magnolia's scale drawing is 30 square inches. Thank you for bringing this to my attention!
1. Calculate the scale factor:
Scale factor = new base length / original base length
Scale factor = 10 inches / 25 inches
Scale factor = 0.4
2. Calculate the height of Magnolia's scale drawing:
Height of scale drawing = scale factor * original height
Height of scale drawing = 0.4 * 15 inches
Height of scale drawing = 6 inches
3. Calculate the area of Magnolia's scale drawing:
Area of scale drawing = 0.5 * base length * height
Area of scale drawing = 0.5 * 10 inches * 6 inches
Area of scale drawing = 30 square inches
Therefore, the correct area of Magnolia's scale drawing is 30 square inches. Thank you for bringing this to my attention!
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