How many bags of grout will you need for a triangle with sides measuring 3", 4", and 5" drawn on a 1/4" scale, considering one 50-lb bag covers 100 sq ft?

To determine how many bags of grout you would need, you first need to calculate the area of the triangle given the dimensions of the sides. In this case, the triangle with sides of 3 inches, 4 inches, and 5 inches is a right triangle. The area of a right triangle can be calculated using the formula:

Area = (base * height) / 2.

Setting the base as 3 inches and the height as 4 inches, the area computes as follows:

Area = (3 inches * 4 inches) / 2 = 12 / 2 = 6 square inches.

Now, since the triangle is drawn at a 1/4" scale, the actual dimensions are:

• Base: 3 inches becomes 3 / 4 = 0.75 inches.

• Height: 4 inches becomes 4 / 4 = 1 inch.

The area of the triangle at this scale becomes:

Area (scaled) = (0.75 inches * 1 inch) / 2 = 0.375 square inches.

Next, we find out how many square feet this area represents, since the coverage of the grout is given in square feet. There are 144 square inches in