Question

The length of & rectangle is 3 times the
width. w. Which equations represent the perimeter P. of the rectangle?
A. P = 4w
B. P = 7w
C. P = 8w
D. P = 5w + 2w
E. P = 2(3w + w)
F. P = 2(3w) + 2(w)​

Answer 1

Answer:

The answer for this question is C, E and F .

Step-by-step explanation:

Given that the length is 3 times the width. So firstly, you have to find the expression of length :

$length = 3 \times width$

Let width = w,

$length = 3 \times w$

$length = 3w$

Next, the perimeter of rectangle is P = 2(length+width) so you have to substitute the expression into the formula :

$p = 2(length + width)$

Let length = 3w,

Let width = w,

$p = 2(3w + w) \: \: (option \: e)$

$p = 2(3w) + 2(w) \: \: (option \: f)$

$p = 6w + 2w$

$p = 8w \: \: (option \: c)$