Question

4 the width of a rectangle is 4 times its length, y. which expressions represent the perimeter of the rectangle? select all the correct expressions. a 10y b 5y c 4(y + y) d 2(4y + y) e 8y + 2y f 4y + y

Explanation:

Step1: Define rectangle dimensions

Length = $y$, Width = $4y$

Step2: Recall perimeter formula

Perimeter $P = 2(\text{length} + \text{width})$

Step3: Substitute values into formula

$P = 2(y + 4y) = 2(4y + y)$

Step4: Simplify the expression

$2(4y + y) = 2(5y) = 10y$

Step5: Expand the formula

$2(4y + y) = 8y + 2y$

Answer:

A. $10y$
D. $2(4y + y)$
E. $8y + 2y$