Sovi.AI - AI Math Tutor

Scan to solve math questions

QUESTION IMAGE

the floor of the cafeteria at valley view middle school has a v - shape…

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? use the number pad to enter your answer in the box.

Explanation:

Step1: Count the number of tiles

By counting the squares in the V - shaped design, we find there are 16 tiles.

Step2: Calculate the area of one tile

The area of a square tile with side length $s = 8$ inches is $A_{tile}=s^2=8^2 = 64$ square inches.

Step3: Calculate the area of the design

The area of the design $A$ is the number of tiles times the area of one tile. So $A = 16\times64=1024$ square inches.

Answer:

1024