The formula for the perimeter of a rectangle is P = 2ℓ + 2w, where ℓ is the length and w is the width. The perimeter of a flower garden is 54 feet. Its length is 6 feet more than twice its width. Let the width of the garden be represented by w. Which equation below can be used to describe this situation?

P= 12+4w

Step-by-step explanation:

Given: The formula for the perimeter of a rectangle is P = 2ℓ + 2w, where ℓ is the length and w is the width.

let w = width of rectangle.

then, length = 6+w

Put this in place of ℓ, we get

Perimeter : P= 2 (6+w)+2w

⇒P= 12+2w+2w

⇒ P= 12+4w

hence, the equation can be used to describe this situation : P= 12+4w

true

step-by-step explanation:

option c) graph of line going through 1, 4 and 3, 10

step-by-step explanation:

let y equal to margo's coin collection

let x equal to number of years

at the begining x=0, y=1 → point=(x,y)→point=(0,1)

she adds 3 coins per year, then y=1+3x

at x=1, y=1+3(1)=1+3→y=4→point=(x,y)→point=(1,4)

at x=3, y=1+3(3)=1+9→y=10→point=(x,y)→point=(3,10)

the graph of line going through (1, 4) and (3, 10), then the option c is the correct.