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Chapter 9: Problem 11

Find the perimeter of each square. $$ 22 \mathrm{ft} \text { on a side } $$

Short Answer

Expert verified
The perimeter is 88 feet.

Step by step solution

01

Understand the problem

The problem asks to find the perimeter of a square. The side length of the square is given as 22 feet.
02

Recall the formula for the perimeter of a square

The formula to find the perimeter of a square is given by the equation: \[ P = 4 \times \text{side length} \]
03

Substitute the given side length into the formula

Substitute the given side length of 22 feet into the formula: \[ P = 4 \times 22 \]
04

Perform the multiplication

Multiply to find the numerical value of the perimeter: \[ P = 88 \text{ feet} \]

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Key Concepts

These are the key concepts you need to understand to accurately answer the question.

square geometry
A square is a simple geometric shape found in basic mathematics. It has four equal sides and four right angles. A key aspect of squares is that all four sides are the same length. This makes calculations involving squares straightforward because of their regularity. Understanding square geometry is essential because it applies to many real-life situations, such as plotting land or designing objects.
perimeter formula
The perimeter of any shape is the total distance around its edges. For a square, the perimeter formula is quite handy due to its equal sides. The formula for the perimeter of a square is: \( P = 4 \times \text{side length} \). This formula means that to find the perimeter, you simply multiply the length of one side by four. It's a quick and efficient way to calculate how far it is around any square-shaped object.
mathematical multiplication
Multiplication in mathematics simplifies the process of adding the same number multiple times. Instead of adding 22 feet four times consecutively (\(22 + 22 + 22 + 22\)), you can multiply 22 by 4. In the given exercise, using the multiplication step: \( P = 4 \times 22 \), simplifies the perimeter calculation significantly. Practical applications of multiplication include areas like budgeting, measurements, and even daily shopping.
basic mathematics
Basic mathematical skills form the foundation for all advanced mathematical techniques. Concepts such as addition, subtraction, multiplication, and division are building blocks. For example, understanding the basics allows one to easily grasp perimeter calculations. Knowing the perimeter formula and how to multiply enables quick, accurate results in various scenarios, like the example given where you find the perimeter as \( 88 \text{ feet} \). Mastering these foundations is crucial for more complex mathematical learning.

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Most popular questions from this chapter

A carpenter is to build a fence around a \(9-\mathrm{m}\) by \(12-\mathrm{m}\) garden. a) The posts are to be \(3 \mathrm{~m}\) apart. How many posts will be needed? b) The posts cost \(\$ 8.65\) each. How much will the posts cost? c) The fence will surround all but \(3 \mathrm{~m}\) of the garden, which will be a gate. How long will the fence be? d) The fencing costs \(\$ 3.85\) per meter. What will the cost of the fencing be? e) The gate costs \(\$ 69.95 .\) What is the total cost of the materials?

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Complete. \(23.4 \mathrm{~cm}=\) _______ mm.
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