Convert Measurements

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Convert Measurements · Grade 4 · Worksheet 1

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. 3.5 × 4 = ? Answer: 14 Solution: 3.5 × 4 means we are adding 3.5 a total of 4 times. Break 3.5 into a whole number and a decimal. 3.5 is the same as 3 + 0.5.
   Full step-by-step solution

   Let's solve 3.5 × 4 step by step. Step 1: Understand the multiplication. 3.5 × 4 means we are adding 3.5 a total of 4 times. Step 2: Break 3.5 into a whole number and a decimal. 3.5 is the same as 3 + 0.5. Step 3: Multiply each part by 4. First, multiply the whole number part: 3 × 4 = 12. Next, multiply the decimal part: 0.5 × 4 = 2. Step 4: Add the results together. 12 + 2 = 14. Step 5: Final answer. So, 3.5 × 4 = 14.

3. Sophia's rope is 7 meters long. How many centimeters is this? Answer: 700 Solution: We know that 1 meter equals 100 centimeters. To convert 7 meters to centimeters, multiply 7 by 100. 7 × 100 = 700 Therefore, 7 meters is equal to 700 centimeters.
   Full step-by-step solution

   Step 1: We know that 1 meter equals 100 centimeters. Step 2: To convert 7 meters to centimeters, multiply 7 by 100. Step 3: 7 × 100 = 700 Step 4: Therefore, 7 meters is equal to 700 centimeters.

4. 8 kilometers = __ meters Answer: 8000 Solution: Know that 1 kilometer = 1000 meters Multiply the number of kilometers by 1000 to convert to meters 8 × 1000 = 8000 So, 8 kilometers equals 8000 meters The answer is 8000.
   Full step-by-step solution

   Step 1: Know that 1 kilometer = 1000 meters Step 2: Multiply the number of kilometers by 1000 to convert to meters Step 3: 8 × 1000 = 8000 Step 4: So, 8 kilometers equals 8000 meters The answer is 8000.

5. Lily is helping her dad build a rectangular garden bed. The length of the garden is 12 feet, and the width is 8 feet. They want to put a fence around the entire garden. How many feet of fencing do they need to buy? Answer: 40 Solution: We are finding the total length of fencing needed for a rectangular garden bed. This means we need the perimeter of the rectangle. Perimeter = 2 × (length + width) Substitute the given measurements into the formula.
   Full step-by-step solution

   We are finding the total length of fencing needed for a rectangular garden bed. This means we need the perimeter of the rectangle. Step 1: Recall the formula for the perimeter of a rectangle. Perimeter = 2 × (length + width) Step 2: Substitute the given measurements into the formula. Length = 12 feet Width = 8 feet Perimeter = 2 × (12 + 8) Step 3: First, add the length and width. 12 + 8 = 20 Step 4: Multiply by 2. 2 × 20 = 40 Step 5: State the final answer with units. They need 40 feet of fencing.

6. Aroha is helping her grandfather build a new fence for their garden. The garden is 7 yards long and 5 yards wide. They need to put fencing around all four sides of the garden. How many feet of fencing will they need in total? (Remember: 1 yard = 3 feet) Answer: 72 feet Solution: Find the perimeter of the garden in yards. The garden is a rectangle with length 7 yards and width 5 yards. Perimeter = 2 × (length + width) = 2 × (7 + 5) = 2 × 12 = 24 yards.
   Full step-by-step solution

   Step 1: Find the perimeter of the garden in yards. The garden is a rectangle with length 7 yards and width 5 yards. Perimeter = 2 × (length + width) = 2 × (7 + 5) = 2 × 12 = 24 yards. Step 2: Convert the perimeter from yards to feet. Since 1 yard = 3 feet, multiply the number of yards by 3: 24 × 3 = 72 feet. Step 3: Aroha and her grandfather need 72 feet of fencing.

7. Isabella is drawing a scale diagram of her classroom. She knows the actual length of the classroom is 12 meters. In her drawing, she uses a scale where 1 centimeter represents 1 meter. What is the length of the classroom in her drawing, in centimeters? Answer: 12 centimeters Solution: The actual length of the classroom is 12 meters. Since each meter is represented by 1 centimeter, the drawing length is the same number in centimeters as the actual length in meters.
   Full step-by-step solution

   Step 1: Understand the scale: 1 centimeter in the drawing = 1 meter in real life. Step 2: The actual length of the classroom is 12 meters. Step 3: Since each meter is represented by 1 centimeter, the drawing length is the same number in centimeters as the actual length in meters. Step 4: Therefore, 12 meters = 12 centimeters in the drawing. The answer is 12 centimeters.