Question

A square tile has a side length of 3 inches.

How many square tiles of the same size
are needed to make a square tile with a
perimeter of 60?
(A) 12
(B) 15
(C) 20
(D) 25
(E) 45

Answer 1

To make a square tile with a perimeter of 60 inches using square tiles of side length 3 inches, 25 smaller tiles are needed.

Step-by-step explanation:

To find the number of square tiles needed to make a square tile with a perimeter of 60, we first need to calculate the side length of the larger tile. Since the perimeter of a square is 4 times the length of one side, the side length of the larger tile is 60 divided by 4, which is 15 inches.

To find the number of smaller tiles needed, we divide the side length of the larger tile by the side length of the smaller tile. In this case, the side length of the smaller tile is given as 3 inches. So, 15 divided by 3 equals 5. Therefore, 5 x 5 = 25 smaller tiles are needed to make a square tile with a perimeter of 60.

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