A rectangle has a length of 10 ft. and a width of 6 ft. What's the perimeter?
A) 16 ft.
B) 60 ft.
C) 32 ft.
D) 26 ft.
Answer (1)
Identify the length and width of the rectangle.
Apply the formula for the perimeter of a rectangle: P = 2 l + 2 w .
Substitute the given length and width into the formula and calculate the perimeter.
The perimeter of the rectangle is 32 ft .
Explanation
Problem Analysis We are given a rectangle with length l = 10 ft and width w = 6 ft. We need to find the perimeter of the rectangle.
Perimeter Formula The perimeter of a rectangle is given by the formula: P = 2 l + 2 w where P is the perimeter, l is the length, and w is the width.
Substitution Substitute the given values of length and width into the formula: P = 2 ( 10 ft ) + 2 ( 6 ft )
Calculation Perform the calculations: P = 20 ft + 12 ft P = 32 ft
Final Answer The perimeter of the rectangle is 32 ft. Therefore, the correct answer is C) 32 ft.
Examples
Understanding the perimeter of a rectangle is useful in many real-life situations. For example, if you're building a rectangular fence around a garden, you need to know the perimeter to determine how much fencing material to buy. Similarly, if you're decorating a rectangular room with a border, knowing the perimeter helps you calculate the length of the border needed. These calculations ensure you purchase the right amount of materials, saving time and money.
