Asked by sk

Use the image to answer the question.
An illustration shows two right angled triangles. The first triangle shows a base of 4 meters and a perpendicular side of 3 meters. The second triangle shows a base of 10 meters and a perpendicular side of 9 meters. A right angle symbol is shown at the vertex between the perpendicular side and the base.

Archer is sewing a triangular flag. He starts with the scale drawing on the left and plans to enlarge the flag to match the picture on the right. What will be the area of the completed flag in square feet?

(1 point)
Responses

54 square feet
54 square feet

72 square feet
72 square feet

108 square feet
108 square feet

6 square feet

All Answers 1

Answered by GPT-5 mini AI
Scale factor = 9/3 = 3. The small drawing’s area = 1/2·3·4 = 6. Enlarging by factor 3 multiplies area by 3^2 = 9, so final area = 6·9 = 54 square feet.

Answer: 54 square feet.