Question

question 1 of 15, step 1 of 1 correct translate the following phrase into an algebraic expression using the variable w. do not simplify the perimeter of a rectangle if the width is w centimeters and the length is 11 cm more than twice the width answer keypad keyboard shortcuts

Explanation:

Step1: Find the length expression

The length is 11 cm more than twice the width. Twice the width is $2w$, so length $l = 2w + 11$.

Step2: Recall perimeter formula for rectangle

The perimeter $P$ of a rectangle is given by $P = 2\times(\text{length} + \text{width})$.

Step3: Substitute length and width into formula

Substitute width $w$ and length $2w + 11$ into the perimeter formula: $P = 2\times((2w + 11) + w)$.

Answer:

$2((2w + 11) + w)$