Question

the floor of the cafeteria at valley view middle school has a v - shaped design as shown. each square in the diagram represents one tile. the side length of each tile is 8 inches. what is the area of the design?

Explanation:

Step1: Calculate area of one tile

The area of a square is $A = s^2$, where $s = 8$ inches. So $A_{tile}=8\times8=64$ square - inches.

Step2: Count number of tiles

By counting the shaded squares in the V - shaped design, we find there are 18 tiles.

Step3: Calculate total area of design

The total area of the design $A_{total}$ is the area of one tile times the number of tiles. So $A_{total}=A_{tile}\times18 = 64\times18 = 1152$ square inches.

Answer:

1152 square inches