Question

1. find an expression for perimeter

rectangle diagram with length 4m − 1 and width 3m + 2
type a response

Explanation:

Step1: Recall perimeter formula for rectangle

The perimeter \( P \) of a rectangle is given by \( P = 2\times(\text{length} + \text{width}) \). Here, length is \( 4m - 1 \) and width is \( 3m + 2 \).

Step2: Substitute length and width into formula

Substitute length \( l = 4m - 1 \) and width \( w = 3m + 2 \) into the formula: \( P = 2\times((4m - 1)+(3m + 2)) \).

Step3: Simplify the expression inside the parentheses

First, simplify \( (4m - 1)+(3m + 2) \). Combine like terms: \( 4m + 3m - 1 + 2 = 7m + 1 \).

Step4: Multiply by 2

Now, multiply \( 7m + 1 \) by 2: \( 2\times(7m + 1)=14m + 2 \).

Answer:

\( 14m + 2 \)