Chapter 1: Q12. (page 30)

Write an algebraic expression to represent the perimeter of the rectangle and then evaluate it to find the perimeter when $w = 8 cm$ .

Short Answer

Expert verified

The perimeter of the rectangle is $74 cm$ .

Step by step solution

Step 1. Given information.

The length of the rectangle is $4 w - 3$ .

And the width of the rectangle is w.

Step 2. Write the Formula.

The perimeter of a rectangle is given by:

$P = 2 (Length + Width)$

Step 3. Write the expression for perimeter.

The expression is:

$\begin{matrix} P = 2 (Length + Width) \\ = 2 [(4 w - 3) + w] \end{matrix}$

Step 4. Simplify the expression.

The expression for the perimeter is:

$P = 2 [(4 w - 3) + w]$

Substitute $w = 8 cm$ in the above expression.

$\begin{matrix} P = 2 [(4 \times 8 - 3) + 8] \\ = 2 [(32 - 3) + 8] \\ = 2 [29 + 8] \\ = 2 [37] \\ = 74 cm \end{matrix}$

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Write an algebraic expression to represent the perimeter of the rectangle and then evaluate it to find the perimeter when $w = 8 cm$ .

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the Formula.

Step 3. Write the expression for perimeter.

Step 4. Simplify the expression.

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Write an algebraic expression to represent the perimeter of the rectangle and then evaluate it to find the perimeter when w=8 cm.

Short Answer

Step by step solution

Step 1. Given information.

Step 2. Write the Formula.

Step 3. Write the expression for perimeter.

Step 4. Simplify the expression.

One App. One Place for Learning.

Most popular questions from this chapter

Recommended explanations on Math Textbooks

Applied Mathematics

Statistics

Discrete Mathematics

Mechanics Maths

Logic and Functions

Pure Maths

Study anywhere. Anytime. Across all devices.

Write an algebraic expression to represent the perimeter of the rectangle and then evaluate it to find the perimeter when $w = 8 cm$ .