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

Natalya Mckee

Mathematics

15 June, 22:09

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?

Isabella Callahan · 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