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Convert Measurements

Grade 4 · Measurement · Worksheet 2

  1. A rectangular garden is drawn with a length of 12 meters and a width of 8 meters. What is the area of the garden in square meters?
    Answer: ______________
  2. 8 yards = __ feet Answer: ______________
  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: ______________
  4. 2.5 × 4.8 = ? Answer: ______________
  5. A carpenter needs to cut a wooden board that is 3.25 meters long into 5 equal pieces. How many centimeters long will each piece be? Answer: ______________
  6. Olivia is drawing a scale model of a flagpole in her backyard. The actual flagpole is 15 feet tall. In her drawing, she uses a scale where 1 inch represents 3 feet. How many inches tall should Olivia draw the flagpole in her model? Answer: ______________
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Answer Key & Explanations

Convert Measurements · Grade 4 · Worksheet 2

  1. A rectangular garden is drawn with a length of 12 meters and a width of 8 meters. What is the area of the garden in square meters? Answer: 96 Solution: To find the area of a rectangle, we use the formula: Area = length × width Identify the given measurements from the problem. The length is 12 meters. The width is 8 meters.
    Full step-by-step solution

    To find the area of a rectangle, we use the formula: Area = length × width Step 1: Identify the given measurements from the problem. The length is 12 meters. The width is 8 meters. Step 2: Substitute the given values into the formula. Area = 12 × 8 Step 3: Perform the multiplication. First, multiply 12 by 8. 12 × 8 = 96 Step 4: State the final answer with the correct units. The area of the garden is 96 square meters.

  2. 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.

  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. 2.5 × 4.8 = ? Answer: 12 Solution: Multiply the numbers as if they were whole numbers: 25 × 48 25 × 40 = 1000 25 × 8 = 200 1000 + 200 = 1200 Count the decimal places in the original numbers: 2.5 has 1 decimal place, 4.8 has 1 decimal place, so total decimal places = 1 + 1 = 2 Place the decimal point in 1200 to have 2 decimal…
    Full step-by-step solution

    Step 1: Multiply the numbers as if they were whole numbers: 25 × 48 Step 2: 25 × 40 = 1000 Step 3: 25 × 8 = 200 Step 4: 1000 + 200 = 1200 Step 5: Count the decimal places in the original numbers: 2.5 has 1 decimal place, 4.8 has 1 decimal place, so total decimal places = 1 + 1 = 2 Step 6: Place the decimal point in 1200 to have 2 decimal places: 12.00 Step 7: 12.00 simplifies to 12 The answer is 12.

  5. A carpenter needs to cut a wooden board that is 3.25 meters long into 5 equal pieces. How many centimeters long will each piece be? Answer: 65 cm Solution: Convert 3.25 meters to centimeters. Since 1 meter = 100 centimeters, multiply 3.25 by 100. 3.25 × 100 = 325 centimeters Divide the total length by the number of pieces to find the length of each piece.
    Full step-by-step solution

    Step 1: Convert 3.25 meters to centimeters. Since 1 meter = 100 centimeters, multiply 3.25 by 100. 3.25 × 100 = 325 centimeters Step 2: Divide the total length by the number of pieces to find the length of each piece. 325 ÷ 5 = 65 centimeters Step 3: Each piece will be 65 centimeters long. The answer is 65 cm.

  6. Olivia is drawing a scale model of a flagpole in her backyard. The actual flagpole is 15 feet tall. In her drawing, she uses a scale where 1 inch represents 3 feet. How many inches tall should Olivia draw the flagpole in her model? Answer: 5 inches Solution: The scale says 1 inch in the drawing equals 3 feet in real life. Find how many inches represent the real height. Divide the real height (15 feet) by the number of feet per inch (3 feet per inch).
    Full step-by-step solution

    Step 1: Understand the scale. The scale says 1 inch in the drawing equals 3 feet in real life. Step 2: Find how many inches represent the real height. Divide the real height (15 feet) by the number of feet per inch (3 feet per inch). Step 3: 15 feet / 3 feet per inch = 5 inches. Step 4: So Olivia should draw the flagpole 5 inches tall in her model. The answer is 5 inches.