Area and Perimeter

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Answer Key & Explanations

Area and Perimeter · Grade 4 · Worksheet 2

1. 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 of the banner and also needs to know how much space she has for painting designs. How many feet of ribbon does Maria need for the perimeter, and how many square feet of space does she have for painting? Answer: 42 feet of ribbon and 90 square feet of space 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) = 2 × 21 = 42 feet Find the area for the painting space.
   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) = 2 × 21 = 42 feet Step 3: Find the area for the painting space. The formula for area of a rectangle is: Area = length × width Step 4: Substitute the values: Area = 15 × 6 = 90 square feet Step 5: Maria needs 42 feet of ribbon for the perimeter and has 90 square feet of space for painting.

2. A rectangular classroom floor is 15 meters long and 12 meters wide. The teacher wants to cover the entire floor with square tiles that each measure 1 meter on each side. How many tiles are needed to cover the floor? Answer: 180 Solution: The classroom floor is a rectangle with length 15 meters and width 12 meters. Each tile is a square that measures 1 meter by 1 meter, so each tile covers 1 square meter.
   Full step-by-step solution

   Step 1: The classroom floor is a rectangle with length 15 meters and width 12 meters. Step 2: Each tile is a square that measures 1 meter by 1 meter, so each tile covers 1 square meter. Step 3: To find how many tiles are needed, calculate the area of the floor: area = length × width. Step 4: Area = 15 meters × 12 meters = 180 square meters. Step 5: Since each tile covers 1 square meter, the number of tiles needed is 180. The answer is 180.

3. A rectangular swimming pool is drawn with a length of 15.5 meters and a width of 8.4 meters. What is the area of the pool in square meters? Answer: 130.2 Solution: The formula for the area of a rectangle is length multiplied by width. The length is 15.5 meters and the width is 8.4 meters. Multiply the two numbers: 15.5 * 8.4.
   Full step-by-step solution

   Step 1: The formula for the area of a rectangle is length multiplied by width. Step 2: The length is 15.5 meters and the width is 8.4 meters. Step 3: Multiply the two numbers: 15.5 * 8.4. Step 4: First, multiply 15.5 by 8: 15.5 * 8 = 124. Step 5: Next, multiply 15.5 by 0.4: 15.5 * 0.4 = 6.2. Step 6: Now, add the two results together: 124 + 6.2 = 130.2. The area of the pool is 130.2 square meters.

4. A rectangular swimming pool is drawn on a grid where each square unit represents 1 square meter. The pool measures 15 meters in length and 12 meters in width. What is the total area of the swimming pool? Answer: 180 Solution: The formula for the area of a rectangle is length multiplied by width. The length is 15 meters and the width is 12 meters. Multiply the length by the width: 15 * 12.
   Full step-by-step solution

   Step 1: The formula for the area of a rectangle is length multiplied by width. Step 2: The length is 15 meters and the width is 12 meters. Step 3: Multiply the length by the width: 15 * 12. Step 4: First, calculate 10 * 12 = 120. Step 5: Then, calculate 5 * 12 = 60. Step 6: Add the two results: 120 + 60 = 180. The total area is 180 square meters.