Convert Measurements

lessonbunny.com

Answer Key & Explanations

Convert Measurements · Grade 4 · Worksheet 3

1. 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.

2. Mason is helping his uncle build a fence around a rectangular garden. The garden is 17 feet long and 12 feet wide. Mason's uncle asks him to find how many feet of fencing they will need to go around the entire garden. How many feet of fencing do they need? Answer: 58 feet Solution: Identify the length and width of the garden. Length = 17 feet, Width = 12 feet. To find the perimeter of a rectangle, add the length and width together: 17 + 12 = 29 feet.
   Full step-by-step solution

   Step 1: Identify the length and width of the garden. Length = 17 feet, Width = 12 feet. Step 2: To find the perimeter of a rectangle, add the length and width together: 17 + 12 = 29 feet. Step 3: Since there are two lengths and two widths, multiply the sum by 2: 29 × 2 = 58 feet. Step 4: The total fencing needed is 58 feet. The answer is 58 feet.

3. Emma is baking cookies for her school bake sale. She needs to measure 2.5 cups of flour, but her measuring cup only shows fractions. If 1 cup equals 4/4, how many fourths of a cup does Emma need to measure for 2.5 cups? Answer: 10/4 Solution: Step 1: First, convert 2.5 cups to a fraction: 2.5 = 2 1/2 = 5/2 cups Step 2: Since we need to find how many fourths, convert 5/2 to have denominator 4: 5/2 = 10/4 Step 3: This means Emma needs 10 fourths of a cup of flour Step 4: We can verify: 10/4 = 2 2/4 = 2 1/2 = 2.5 cups The answer is 10/4.
   Full step-by-step solution

   Step 1: First, convert 2.5 cups to a fraction: 2.5 = 2 1/2 = 5/2 cups Step 2: Since we need to find how many fourths, convert 5/2 to have denominator 4: 5/2 = 10/4 Step 3: This means Emma needs 10 fourths of a cup of flour Step 4: We can verify: 10/4 = 2 2/4 = 2 1/2 = 2.5 cups The answer is 10/4.

4. A rectangular swimming pool is drawn with a length of 15.2 meters and a width of 8.5 meters. A border 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: Perimeter = 2 × (length + width) = 2 × (15.2 + 8.5) = 2 × 23.7 = 47.4 meters Each tile has a side length of 0.5 meters Number of tiles = Perimeter ÷ Tile length = 47.4 ÷ 0.5 = 94.8 Since we can't have a fraction of a tile, we round up to the nearest whole number 94.8 rounds up to 95 tiles…
   Full step-by-step solution

   Step 1: Find 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 = 94.8 Step 3: Since we can't have a fraction of a tile, we round up to the nearest whole number 94.8 rounds up to 95 tiles Therefore, 95 tiles are needed to create the border around the pool.

5. Mere is helping her family prepare for a long road trip. Their car's odometer shows they have traveled 150 kilometers so far. They still need to drive another 380 kilometers to reach their destination. How many total kilometers will the entire trip be? Answer: 530 kilometers Solution: Identify the distance already traveled: 150 kilometers. Identify the distance still to drive: 380 kilometers. To find the total distance of the entire trip, add the two distances together: 150 + 380.
   Full step-by-step solution

   Step 1: Identify the distance already traveled: 150 kilometers. Step 2: Identify the distance still to drive: 380 kilometers. Step 3: To find the total distance of the entire trip, add the two distances together: 150 + 380. Step 4: Add the hundreds: 100 + 300 = 400. Step 5: Add the tens: 50 + 80 = 130. Step 6: Combine the sums: 400 + 130 = 530. Step 7: Include the unit: 530 kilometers. The entire trip will be 530 kilometers.