Rachel is painting one wall of her room with a pattern of squares. She want to alternate between red squares with an area of 25 square inches and blue squares with an area of 16 inches.

Part A: find the side length of each square. Show or explain your work.

Part B: if she has enough room to place 12 of each type of square with not space between them, how long is the wall? Explain your reasoning.

Question

Mathematics

Miah Henderson

9 September, 15:21

Rachel is painting one wall of her room with a pattern of squares. She want to alternate between red squares with an area of 25 square inches and blue squares with an area of 16 inches.

Part A: find the side length of each square. Show or explain your work.

Part B: if she has enough room to place 12 of each type of square with not space between them, how long is the wall? Explain your reasoning.

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Answers (1)

Know the Answer?

Devin · Answer 1

Part A. 5 in and 4 in

Part B. 108 in

Step-by-step explanation:

Part A.

A (square) = side², then side = √ (A)

A1 = 25 in², then side1 = √ (25) = 5 in

A2 = 16 in², then side2 = √ (16) = 4 in

Part B.

12*5 in + 12 * 4 in = 60 + 48 = 108 in

length of the wall = 108 in