Chapter 2: Q26. (page 78)

Translate the following sentence into a formula:
“The perimeter of a rectangle is equal to 2 times the length plus twice the width”.

Short Answer

Expert verified

The formula is $p = 2 (l + w)$ .

Step by step solution

Step 1. Given information.

The given sentence is:

The perimeter of a rectangle is equal to 2 times the length plus twice the width.

Step 2. Write the variable.

Consider the perimeter of the rectangle be p.

Also, assume the length and width of the rectangle be l and w respectively.

Step 3. Write the expression.

The expression for 2 times the length is 2l and the expression for twice the width is 2w.

Then, the expression for 2 times the length plus twice the width is $2 l + 2 w$ .

Step 4. Write the formula.

Since the perimeter is equal to $2 l + 2 w$ ,

Therefore,

$p = 2 l + 2 w$

So, the formula for the given sentence becomes:

$\begin{matrix} p = 2 l + 2 w \\ = 2 (l + w) \end{matrix}$

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Translate the following sentence into a formula:
“The perimeter of a rectangle is equal to 2 times the length plus twice the width”.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the variable.

Step 3. Write the expression.

Step 4. Write the formula.

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Translate the following sentence into a formula:“The perimeter of a rectangle is equal to 2 times the length plus twice the width”.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the variable.

Step 3. Write the expression.

Step 4. Write the formula.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Statistics

Decision Maths

Geometry

Probability and Statistics

Discrete Mathematics

Logic and Functions

Study anywhere. Anytime. Across all devices.

Translate the following sentence into a formula:
“The perimeter of a rectangle is equal to 2 times the length plus twice the width”.