Question

the largest of these five squares has side length 27 units, and each additional square's side length is 2/3 as large as the one before. What is the perimeter and area of the entire shape?

Answer 1

The total area is 1289.41 units².

The total perimeter is 281.32 units.

What is the total area and perimeter?

The first step is to determine the side lengths of the other squares:

• Length of the second square = 2/3 x 27 = 18
• Length of the third square = 2/3 x18 = 12
• Length of the fourth square = 2/3 x 12 = 8
• Length of the fifth square = 2/3 x 8 = 5.33

Area of a square = length²

Perimeter of a square = 4 x length

• Area of the first square = 27² = 729
• Area of the second square = 18² = 324
• Area of the first square = 12² = 144
• Area of the first square = 8² = 64
• Area of the first square = 5.33² = 28.41

Total area = sum of the areas of the 5 squares = 1289.41 units²

• Perimeter of the first square = 4 x 27 = 108 units
• Perimeter of the second square = 4 x 18 = 72
• Perimeter of the third square = 4 x 12 = 48
• Perimeter of the fourth square = 4 x 8 = 32
• Perimeter of the fifth square = 4 x 5.33 = 21.32

Total perimeter = 281.32 units

To learn how a square, please check: brainly.com/question/9030544

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