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Chapter 2: Problem 1

Use the formulas for perimeter and area to answer the following questions. a. The side of a square is 5 centimeters. What is its perimeter? b. A rectangle is 23 inches long and 35 inches wide. What is its area? c. The adjacent sides of a rectangle are 6 and 8 centimeters, respectively. What is the perimeter of the rectangle? d. A square measures 15 inches on each side. What is the area of this square?

Short Answer

Expert verified
Answer: The area of the square is 225 square inches.

Step by step solution

01

Question a: Perimeter of a Square

To find the perimeter of a square, we use the formula: Perimeter of a Square = 4 * side In this case, the side of the square is 5 centimeters. Now we can plug in the value into the formula: Perimeter = 4 * 5 = 20 centimeters The perimeter of the square is 20 centimeters.
02

Question b: Area of a Rectangle

To find the area of a rectangle, we use the formula: Area of a Rectangle = length * width Given that the rectangle has a length of 23 inches and a width of 35 inches, we can plug these values into the formula: Area = 23 * 35 = 805 square inches The area of the rectangle is 805 square inches.
03

Question c: Perimeter of a Rectangle

To find the perimeter of a rectangle, we use the formula: Perimeter of a Rectangle = 2 * (length + width) We are given that the adjacent sides of the rectangle are 6 centimeters and 8 centimeters. These are the length and width of the rectangle, respectively. Now, plug in the values into the formula: Perimeter = 2 * (6 + 8) = 2 * 14 = 28 centimeters The perimeter of the rectangle is 28 centimeters.
04

Question d: Area of a Square

To find the area of a square, we use the formula: Area of a Square = side^2 In this case, the side of the square is 15 inches. Now we can plug in the value into the formula: Area = 15^2 = 225 square inches The area of the square is 225 square inches.

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