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?
triangle on the left is 3in and 4
the triangle on the right is 9in and unknown
First, we can determine the scale factor by comparing the corresponding sides of the two triangles:
Scale factor = (9 in) / (3 in) = 3
Now, we can use the scale factor to find the missing side of the triangle on the right:
4 in x 3 = 12 in
Next, we can calculate the area of the completed flag by using the formula for the area of a triangle:
Area = 1/2 x base x height
Area = 1/2 x 9 in x 12 in
Area = 54 square inches
To convert square inches to square feet, we know that 1 square foot is equal to 144 square inches. Therefore, we divide the area in square inches by 144 to get the area in square feet:
54 square inches / 144 = 0.375 square feet
Therefore, the area of the completed flag will be 0.375 square feet.