Worksheet 1Worksheet 2Worksheet 3

The download includes this worksheet followed by the answer key with explanations. In the print dialog choose “Save as PDF” to download.

lessonbunny.com
Name: ______________________________ Date: ______________

Area and Perimeter

Grade 4 · Geometry · Worksheet 1

  1. A rectangular garden has a length of 125 meters and a width of 80 meters. What is the perimeter of the garden in meters?
    Answer: ______________
  2. A rectangular playground has a length of 15 meters and a width of 12 meters. If you walk all the way around the edge of the playground, what total distance will you walk?
    Answer: ______________
  3. Liam is building a rectangular garden bed that measures 12 feet long and 8 feet wide. He wants to put a fence around the entire garden and also cover the entire surface with soil. How many feet of fencing does Liam need for the perimeter, and how many square feet of soil does he need to cover the area?
    Answer: ______________
lessonbunny.com

Answer Key & Explanations

Area and Perimeter · Grade 4 · Worksheet 1

  1. A rectangular garden has a length of 125 meters and a width of 80 meters. What is the perimeter of the garden in meters? Answer: 410 Solution: We are given a rectangular garden with length = 125 meters and width = 80 meters. We need to find the perimeter.
    Full step-by-step solution

    Step 1: Understand the problem We are given a rectangular garden with length = 125 meters and width = 80 meters. We need to find the perimeter. Step 2: Recall the formula for the perimeter of a rectangle Perimeter = 2 × (length + width) Step 3: Substitute the given values into the formula Perimeter = 2 × (125 + 80) Step 4: Add the length and width 125 + 80 = 205 Step 5: Multiply by 2 2 × 205 = 410 Step 6: State the final answer The perimeter of the garden is 410 meters.

  2. A rectangular playground has a length of 15 meters and a width of 12 meters. If you walk all the way around the edge of the playground, what total distance will you walk? Answer: 54 meters Solution: Identify the formula for perimeter of a rectangle: Perimeter = 2 × (length + width) Substitute the given values: Perimeter = 2 × (15 + 12) Add the length and width: 15 + 12 = 27 Multiply by 2: 2 × 27 = 54 Include the units: 54 meters The total distance walked around the playground is 54 meters.
    Full step-by-step solution

    Step 1: Identify the formula for perimeter of a rectangle: Perimeter = 2 × (length + width) Step 2: Substitute the given values: Perimeter = 2 × (15 + 12) Step 3: Add the length and width: 15 + 12 = 27 Step 4: Multiply by 2: 2 × 27 = 54 Step 5: Include the units: 54 meters The total distance walked around the playground is 54 meters.

  3. Liam is building a rectangular garden bed that measures 12 feet long and 8 feet wide. He wants to put a fence around the entire garden and also cover the entire surface with soil. How many feet of fencing does Liam need for the perimeter, and how many square feet of soil does he need to cover the area? Answer: Perimeter: 40 feet, Area: 96 square feet Solution: Length = 12 feet Width = 8 feet 1. Perimeter (for fencing around the garden) 2.
    Full step-by-step solution

    Let's go step by step. --- **Step 1: Understand the problem** We have a rectangular garden bed: Length = 12 feet Width = 8 feet We need to find: 1. Perimeter (for fencing around the garden) 2. Area (for soil to cover the surface) --- **Step 2: Recall formulas** For a rectangle: Perimeter = 2 × (Length + Width) Area = Length × Width --- **Step 3: Calculate the perimeter** Perimeter = 2 × (12 + 8) First, add length and width: 12 + 8 = 20 Then multiply by 2: 2 × 20 = 40 So, Perimeter = 40 feet --- **Step 4: Calculate the area** Area = Length × Width Area = 12 × 8 12 × 8 = 96 So, Area = 96 square feet --- **Step 5: Final answer** Perimeter: 40 feet Area: 96 square feet