Convert Measurements

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Answer Key & Explanations

Convert Measurements · Grade 4 · Worksheet 2

1. A rectangular swimming pool is drawn with a length of 15.2 meters and a width of 8.5 meters. A border made of square tiles, each with a side length of 0.5 meters, is placed along the entire perimeter of the pool. How many tiles are needed to create this border? Answer: 95 Solution: Calculate the perimeter of the rectangular pool. Perimeter = 2 × (length + width) = 2 × (15.2 + 8.5) = 2 × 23.7 = 47.4 meters Determine how many tiles fit along the perimeter. Each tile has a side length of 0.5 meters.
   Full step-by-step solution

   Step 1: Calculate the perimeter of the rectangular pool. Perimeter = 2 × (length + width) = 2 × (15.2 + 8.5) = 2 × 23.7 = 47.4 meters Step 2: Determine how many tiles fit along the perimeter. Each tile has a side length of 0.5 meters. Number of tiles = Perimeter ÷ Tile length = 47.4 ÷ 0.5 Step 3: Perform the division. 47.4 ÷ 0.5 = 94.8 Step 4: Since we need whole tiles and can't use partial tiles, we round up to the nearest whole number. 94.8 tiles rounds up to 95 tiles Therefore, 95 tiles are needed to create the border around the pool.

2. A rectangular swimming pool is 12.5 meters long and 8.75 meters wide. What is the total area of the pool in square meters? Answer: 109.375 square meters Solution: Multiply 12.5 meters by 8.75 meters First multiply 12.5 × 8 = 100 Then multiply 12.5 × 0.75 = 9.375 Add the results: 100 + 9.375 = 109.375 The total area is 109.375 square meters.
   Full step-by-step solution

   Step 1: The area of a rectangle is length times width Step 2: Multiply 12.5 meters by 8.75 meters Step 3: First multiply 12.5 × 8 = 100 Step 4: Then multiply 12.5 × 0.75 = 9.375 Step 5: Add the results: 100 + 9.375 = 109.375 Step 6: Include the units: square meters The total area is 109.375 square meters.

3. Liam is building a rectangular garden bed that measures 12 feet long and 8 feet wide. He wants to put a decorative fence around the entire perimeter. How many feet of fencing does Liam need? Answer: 40 feet Solution: To find the total length of fencing needed, we need to calculate the perimeter of the rectangular garden bed. Recall the formula for the perimeter of a rectangle. The perimeter P is given by: P = 2 * (length + width) Identify the given measurements from the problem.
   Full step-by-step solution

   To find the total length of fencing needed, we need to calculate the perimeter of the rectangular garden bed. Step 1: Recall the formula for the perimeter of a rectangle. The perimeter P is given by: P = 2 * (length + width) Step 2: Identify the given measurements from the problem. The length of the garden is 12 feet. The width of the garden is 8 feet. Step 3: Substitute the given values into the perimeter formula. P = 2 * (12 feet + 8 feet) Step 4: Perform the calculation inside the parentheses first. 12 + 8 = 20 Step 5: Multiply the result by 2. P = 2 * 20 = 40 Step 6: State the final answer with the correct unit. Liam needs 40 feet of fencing.

4. 8 yards = __ feet Answer: 24 Solution: We know that 1 yard equals 3 feet. To convert 8 yards to feet, multiply 8 by 3. 8 × 3 = 24 Therefore, 8 yards is equal to 24 feet.
   Full step-by-step solution

   Step 1: We know that 1 yard equals 3 feet. Step 2: To convert 8 yards to feet, multiply 8 by 3. Step 3: 8 × 3 = 24 Step 4: Therefore, 8 yards is equal to 24 feet.