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? (1 point) Responses 6 square feet 6 square feet 72 square feet 72 square feet 54 square feet 54 square feet 108 square feet 108 square feet
Left - 4 foot on one side and 3 ft on the other side
Right side - 9 foot on one side and the other is unkown
First, we need to calculate the scale factor between the two triangles. Since the length of the sides of the scaled up triangle are 2.25 times the lengths of the sides of the original triangle, the scale factor is 2.25.
This means that the missing side on the right triangle is (3 ft * 2.25) = 6.75 ft.
Now we can calculate the area of the original triangle:
Area = 1/2 * base * height
Area = 1/2 * 4 ft * 3 ft
Area = 6 square feet
Next, we calculate the area of the completed flag:
Area = 1/2 * base * height
Area = 1/2 * 9 ft * 6.75 ft
Area = 30.375 square feet
Therefore, the area of the completed flag is approximately 30.375 square feet.
WHICH ONE
6 square feet
72 square feet
54 square feet
108 square feet