Troy is helping his mom make a fence for their rectangular vegetable garden. First, they measure the sides and find that it is 20 feet long and 40 feet wide. Then, they buy fencing from the hardware store. If the store sells fencing in 4-yard packages, how many packages do Troy and his mom need?

10 Packages

Step-by-step explanation:

The rectangular vegetable garden has a dimension of Length 20 feet and Width 40 feet.

Perimeter of a Rectangle=2(L+W)

=2(20+40)=2(60)=120 feet

Since the store sells fencing in 4-yard packages, let us convert our perimeter to Yards.

1 Yard= 3 Foot

x Yard =120 Feet

Cross Multiply

3x=120

x=40 Yards

The Perimeter =40 Yards

Therefore the number of Packages which Troy and his Mom needs:

Perimeter of the Garden÷Length Per Package

=40÷4

=10 Packages

Troy and his mom would need 20 Packages of Fencing.

To be able to conclude, we conver

d, x=8

step-by-step explanation:

simplifying

4x + -5 = 2x + 11

reorder the terms:

-5 + 4x = 2x + 11

reorder the terms:

-5 + 4x = 11 + 2x

solving

-5 + 4x = 11 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-5 + 4x + -2x = 11 + 2x + -2x

combine like terms: 4x + -2x = 2x

-5 + 2x = 11 + 2x + -2x

combine like terms: 2x + -2x = 0

-5 + 2x = 11 + 0

-5 + 2x = 11

add '5' to each side of the equation.

-5 + 5 + 2x = 11 + 5

combine like terms: -5 + 5 = 0

0 + 2x = 11 + 5

2x = 11 + 5

combine like terms: 11 + 5 = 16

2x = 16

divide each side by '2'.