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Area and Perimeter

Grade 4 · Geometry · Worksheet 3

  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: ______________
  2. A rectangle has length 168 cm and width 132 cm. What is its area in square centimeters?
    Answer: ______________
  3. A rectangle has length 15 cm and width 9 cm. What is its area in square centimeters?
    Answer: ______________
  4. A rectangular swimming pool is drawn on a grid where each square represents 1 meter. The pool's longer side measures 15 meters and its shorter side measures 12 meters. What is the total area of the swimming pool in square meters? Answer: ______________
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Answer Key & Explanations

Area and Perimeter · Grade 4 · Worksheet 3

  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 rectangle has length 168 cm and width 132 cm. What is its area in square centimeters? Answer: 22176 Solution: Recall the formula for area of a rectangle: Area = length × width. Substitute the given values: length = 168 cm, width = 132 cm. Multiply: 168 × 132.
    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 = 168 cm, width = 132 cm. Step 3: Multiply: 168 × 132. Step 4: Break it down: 168 × 100 = 16800, 168 × 30 = 5040, and 168 × 2 = 336. Step 5: Add the partial products: 16800 + 5040 = 21840, then 21840 + 336 = 22176. Step 6: The area is 22176 square centimeters. The answer is 22176.

  3. A rectangle has length 15 cm and width 9 cm. What is its area in square centimeters? Answer: 135 Solution: The formula for area of a rectangle is length × width. Substitute the given measurements: 15 cm × 9 cm. Multiply: 15 × 9 = 135.
    Full step-by-step solution

    Step 1: The formula for area of a rectangle is length × width. Step 2: Substitute the given measurements: 15 cm × 9 cm. Step 3: Multiply: 15 × 9 = 135. Step 4: Include the units: 135 square centimeters. The answer is 135.

  4. A rectangular swimming pool is drawn on a grid where each square represents 1 meter. The pool's longer side measures 15 meters and its shorter side measures 12 meters. What is the total area of the swimming pool in square meters? Answer: 180 Solution: Identify the length and width of the rectangle. The longer side is the length, which is 15 meters. The shorter side is the width, which is 12 meters.
    Full step-by-step solution

    Step 1: Identify the length and width of the rectangle. The longer side is the length, which is 15 meters. The shorter side is the width, which is 12 meters. Step 2: Recall the formula for the area of a rectangle: Area = length × width. Step 3: Substitute the given values into the formula: Area = 15 × 12. Step 4: Perform the multiplication: 15 × 12 = 180. Step 5: Include the units: The area is 180 square meters. The answer is 180.