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)
A.6 square feet
B.72 square feet
C.54 square feet
D.108 square feet
The left triangle features a right triangle with 3 on the and 4 on the bottom and the right triangle also features a right triangle with 9 on the right but the number on the bottom is unknown
B. 72 square feet
To find the area of a triangle, you use the formula A = 1/2 * base * height.
In the left triangle, the base is 4 and the height is 3.
So, the area of the left triangle is 1/2 * 4 * 3 = 6 square feet.
Since the right triangle is an enlargement of the left triangle, the area of the right triangle will be 6 square feet times the enlargement factor squared (3 squared).
So, the area of the completed flag will be 6 square feet * 3 squared = 6 * 9 = 54 square feet.
Therefore, the correct answer is C. 54 square feet.