Questions: What is the perimeter of each shape? a. A square that measures 6 in. on a side? b. A rectangle with a width of 4 in. and a length of 10 in.?

Transcript text: What is the perimeter of each shape? a. A square that measures 6 in. on a side? b. A rectangle with a width of 4 in. and a length of 10 in.?

Solution

Solution Steps

To find the perimeter of each shape, we need to use the formulas for the perimeter of a square and a rectangle.

a. For a square, the perimeter is 4 times the length of one side. b. For a rectangle, the perimeter is 2 times the sum of the length and the width.

Step 1: Perimeter of the Square

The perimeter \( P \) of a square is calculated using the formula: \[ P = 4 \times \text{side length} \] For a square with a side length of \( 6 \) in, the perimeter is: \[ P = 4 \times 6 = 24 \text{ in} \]

Step 2: Perimeter of the Rectangle

The perimeter \( P \) of a rectangle is calculated using the formula: \[ P = 2 \times (\text{length} + \text{width}) \] For a rectangle with a width of \( 4 \) in and a length of \( 10 \) in, the perimeter is: \[ P = 2 \times (10 + 4) = 2 \times 14 = 28 \text{ in} \]