Question

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.

Answer 1

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