Q#15: In order to solve this, you first need to find the scale factor between the flags. To do this, you will want to compare the measurements that you know for either the base or height. In this problem we know the heights of both, so we want to compare them. The scale drawing is 10, the original flag height is 25. In fraction form that makes the scale factor 10/25 or 2/5 when simplified. Next you will want to take the scale factor and multiply that by the height of the original flag. What is 2/5 x 15? Take that answer for your new height and substitute that into the area formula 1/2bh. B is the base of 10.

Question

Q#15:  In order to solve this, you first need to find the scale factor between the flags. To do this, you will want to compare the measurements that you know for either the base or height. In this problem we know the heights of both, so we want to compare them. The scale drawing is 10, the original flag height is 25. In fraction form that makes the scale factor 10/25 or 2/5 when simplified. Next you will want to take the scale factor and multiply that by the height of the original flag. What is 2/5 x 15? Take that answer for your new height and substitute that into the area formula 1/2bh. B is the base of 10.

GPT 3.5 · Answer

The new height of the flag is 6 units (2/5 x 15 = 6).

Now, substitute the new height of 6 units and the base of 10 units into the formula for the area of a triangle: (1/2) x 10 x 6 = 30 square units.

Therefore, the area of the scaled triangle flag is 30 square units.