Question

"Nimerah Is alternating two sizes of square tiles to decorate a table she is making. She wants to alternate between yellow squares with an area of 9 square Inches and orange squares with an area of 4 square inches.

Part A: What is the side length of each square that Nimerah is using for decorating her table?

A) 2 inches
B) 3 inches
C) 4 inches
D) 5 inches

Part B: If Nimerah has enough room to place 6 of each type of square with no space between them, how long is the table?

A) 18 inches
B) 24 inches
C) 30 inches
D) 36 inches

Answer 1

The side length for the yellow square is 3 inches and for the orange square is 2 inches. The total length of the table when alternating 6 of each type of square with no space between them is 30 inches.

Step-by-step explanation:

The side length of each square that Nimerah is using for decorating her table can be determined by taking the square root of the area of the squares:

• For the yellow square with an area of 9 square inches, the side length is √9 = 3 inches.
• For the orange square with an area of 4 square inches, the side length is √4 = 2 inches.

Part B: To find the total length of the table when placing 6 yellow squares and 6 orange squares, we calculate:

• Length of yellow squares: 6 × 3 inches = 18 inches
• Length of orange squares: 6 × 2 inches = 12 inches
• Total length of the table: 18 inches + 12 inches = 30 inches