Question

1. the rectangular floor has a length of 14 meters and a width of 11 meters. what is the perimeter of the room?

1. a square has a length of 20 units. what is the perimeter of the square?

1. a rectangle is 6 inches wide. its length is 2 inches greater than its width. what is the perimeter of the rectangle?

1. each side of a square field measures 24 meters. what is the perimeter of the field?

Explanation:

Question 1

Step1: Recall the perimeter formula for a rectangle.

The formula for the perimeter \( P \) of a rectangle is \( P = 2\times (length + width) \).

Step2: Substitute the given values.

Given length \( l = 14 \) meters and width \( w = 11 \) meters. Substitute into the formula: \( P = 2\times(14 + 11) \).

Step3: Calculate the sum inside the parentheses.

\( 14 + 11 = 25 \).

Step4: Multiply by 2.

\( 2\times25 = 50 \).

Step1: Recall the perimeter formula for a square.

The formula for the perimeter \( P \) of a square is \( P = 4\times side \).

Step2: Substitute the given side length.

Given side length \( s = 20 \) units. Substitute into the formula: \( P = 4\times20 \).

Step3: Calculate the product.

\( 4\times20 = 80 \).

Step1: Find the length of the rectangle.

Given width \( w = 6 \) inches and length \( l = w + 2 \). So \( l = 6 + 2 = 8 \) inches.

Step2: Recall the perimeter formula for a rectangle.

The formula for the perimeter \( P \) of a rectangle is \( P = 2\times (l + w) \).

Step3: Substitute the values of length and width.

Substitute \( l = 8 \) inches and \( w = 6 \) inches into the formula: \( P = 2\times(8 + 6) \).

Step4: Calculate the sum inside the parentheses.

\( 8 + 6 = 14 \).

Step5: Multiply by 2.

\( 2\times14 = 28 \).

Answer:

The perimeter of the room is 50 meters.

Question 2