Area and Perimeter

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Answer Key & Explanations

Area and Perimeter · Grade 4 · Worksheet 2

1. Kaia is tiling a rectangular bathroom wall. The wall is 6 feet long and 14 feet wide. What is the area of the wall in square feet? Answer: 84 Solution: Identify the length (6 feet) and the width (14 feet). Multiply length by width to find the area: 6 × 14 = 84. The area of the wall is 84 square feet.
   Full step-by-step solution

   Step 1: Identify the length (6 feet) and the width (14 feet). Step 2: Multiply length by width to find the area: 6 × 14 = 84. The area of the wall is 84 square feet.

2. A rectangular swimming pool is drawn with a length of 25 meters and a width of 12 meters. What is the perimeter of the pool? Answer: 74 Solution: We have a rectangular swimming pool with length 25 meters and width 12 meters. We are asked to find the perimeter. Recall the formula for the perimeter of a rectangle.
   Full step-by-step solution

   Step 1: Understand the problem. We have a rectangular swimming pool with length 25 meters and width 12 meters. We are asked 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. Length = 25 meters, Width = 12 meters Perimeter = 2 × (25 + 12) Step 4: Perform the addition inside the parentheses. 25 + 12 = 37 Step 5: Multiply by 2. 2 × 37 = 74 Step 6: State the final answer with units. The perimeter of the pool is 74 meters.

3. Maria is designing a rectangular banner for the school fair. The banner needs to be 15 feet long and 6 feet wide. She wants to add colorful ribbon around all four edges and also needs to know how much fabric to use for the banner itself. How many feet of ribbon does Maria need for the perimeter, and how many square feet of fabric does she need for the area? Answer: 42 feet of ribbon and 90 square feet of fabric Solution: Find the perimeter for the ribbon. The formula for perimeter of a rectangle is: Perimeter = 2 × (length + width) Substitute the values: Perimeter = 2 × (15 + 6) Calculate inside parentheses: 15 + 6 = 21 Multiply by 2: 2 × 21 = 42 feet of ribbon needed Find the area for the fabric.
   Full step-by-step solution

   Step 1: Find the perimeter for the ribbon. The formula for perimeter of a rectangle is: Perimeter = 2 × (length + width) Step 2: Substitute the values: Perimeter = 2 × (15 + 6) Step 3: Calculate inside parentheses: 15 + 6 = 21 Step 4: Multiply by 2: 2 × 21 = 42 feet of ribbon needed Step 5: Find the area for the fabric. The formula for area of a rectangle is: Area = length × width Step 6: Substitute the values: Area = 15 × 6 Step 7: Multiply: 15 × 6 = 90 square feet of fabric needed Maria needs 42 feet of ribbon for the perimeter and 90 square feet of fabric for the area.

4. Rectangle: length 125 cm, width 48 cm. Find area. Answer: 6000 Solution: Recall the formula for area of a rectangle: Area = length × width. Substitute the given values: length = 125 cm, width = 48 cm. Multiply: 125 × 48.
   Full step-by-step solution

   Step 1: Recall the formula for area of a rectangle: Area = length × width. Step 2: Substitute the given values: length = 125 cm, width = 48 cm. Step 3: Multiply: 125 × 48. Step 4: Break it down: 125 × 40 = 5000, and 125 × 8 = 1000. Step 5: Add the partial products: 5000 + 1000 = 6000. Step 6: Include the correct units: square centimeters. The area is 6000 square centimeters.