Question

A painted design on a tile is composed of a square and two right triangles. Each side of the square and the height of each triangle measure 4.5 inches. The base of each triangle measures 6 inches. What is the total area of the painted design in square inches?

Answer 1

The total area of the painted design is 47.25 square inches.

Step-by-step explanation:

To find the area of the painted design, we need to calculate the area of the square and then the area of the two triangles.

The area of the square can be found by multiplying its side length by itself: 4.5 inches * 4.5 inches = 20.25 square inches.

The area of each triangle is found by multiplying half the base by the height: (0.5 * 6 inches) * 4.5 inches = 13.5 square inches. Since there are two triangles, the total area for both triangles is 13.5 square inches * 2 = 27 square inches.

Finally, we add the area of the square and the area of the triangles to get the total area of the painted design:

20.25 square inches + 27 square inches = 47.25 square inches.