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Part 1: What is the sum of the perimeters, in units, of the five squares in the design? Round your answer to the nearest tenth.


Part 2: What is the sum of the areas, in square units, of the five squares in the design? Round your answer to the nearest whole unit.

Part 1 What is the sum of the perimeters in units of the five squares in the design Round your answer to the nearest tenth Part 2 What is the sum of the areas i class=

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Answer:

Part 1: Perimeter of the 5 squares = 64 units

Part 2: Area of the 5 squares = 52 units²

Step-by-step explanation:

We have four similar squares and one bigger square in the design.

Part 1:

Perimeter of the 5 squares = 4 * Perimeter of each little square + Perimeter of the big square

We can notice that each side of each little square is 3 units and the side of the big square is 4 units, in consequence we have:

Perimeter of the 5 squares = 4 * (3 + 3 + 3 + 3) + (4 + 4 + 4 + 4)

Perimeter of the 5 squares = 4 * 12 + 16

Perimeter of the 5 squares = 64 units

Part 2:

Area of the 5 squares = 4 * Area of each little square + Area of the big square

We can notice that each side of each little square is 3 units and the side of the big square is 4 units, in consequence we have:

Area of the 5 squares = 4 * (3²) + (4²)

Area of the 5 squares = 36 + 16

Area of the 5 squares = 52 units²

facundo3141592

We want to get the total perimeter and area of the 5 graphed squares, we will get:

  • Perimeter = 70.627 units
  • Area = 68 units squared.

Remember that for a square of sidelength s, the perimeter is:

P = 4*s

And the area is:

A = s^2

In the graph, we can see 4 small squares with sidelength s = 3

We have a larger square with a diagonal equal to 8 units.

The relation between the diagonal and the sidelength is:

D = s*√2

Then the sidelength of the larget square is:

s = 8/√2

a) The sum of the perimeters of the 5 squares is:

P = 4*(4*3) + 4*8/√2 = 70.627 units

b) The sum of the areas of the 5 squares is:

A = 4*(3^2) + (8/√2)^2 = 68 units squared.

If you want to learn more, you can read:

https://brainly.com/question/1658516