Question

Difficulty: EasyPerimeter and Area of 2D Figures

A rectangular room has a length of 1212 feet and a width of 1010 feet. What is the perimeter of the room?

  1. A
    2222 feet
  2. B
    3434 feet
  3. 4444 feetAnswer
  4. D
    120120 feet

Answer

4444 feet
The perimeter is the total distance around the boundary of the rectangle. Since a rectangle has two equal lengths and two equal widths, the perimeter is 2×12+2×10=24+20=442 \times 12 + 2 \times 10 = 24 + 20 = 44 feet.

Step-by-Step Solution

1
Identify the formula for the perimeter of a rectangle.
P=2×(Length+Width)P = 2 \times (\text{Length} + \text{Width}) or P=2L+2WP = 2L + 2W
The perimeter is the total distance around the outside of the shape, which includes two lengths and two widths.
2
Substitute the given dimensions into the formula.
P=2×(12+10)P = 2 \times (12 + 10)
The length is given as 1212 feet and the width is 1010 feet.
3
Calculate the final perimeter.
P=2×22=44P = 2 \times 22 = 44
Performing the addition inside the parentheses first, then multiplying by 22 yields the total distance.

Key Concept

The perimeter of a rectangle is the total distance around its edges, calculated as twice the sum of its length and width.
Estimated Time:45s
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