Mario is setting up a new tent during a camping trip. the tent came with 7 feet of rope. the instructions were to use 34.5 inches of the rope to tie a tarp on top of the tent. then, the remaining rope should be cut into 8 1/4 inch sections to tie the tent to stakes in the ground. mario will use al the rope as instructed. write and solve an equation to determine the number of 8 1/4 inch sections of rope mario can cut from the rope.

Step-by-step explanation:

As given

Mario is setting up a new tent during a camping trip.

The tent came with 7 feet of rope.

As 1 foot = 12 inches

Now convert 7 feet into inches.

7 feet = 7 × 12 inches

         = 84 inches

As given

The instructions were to use 34.5 inches of the rope to tie a tarp on top of the tent.

Than

Rope left after tie a tarp on top of the tent = 84 - 34.5

                                                                      = 49.5 inches

As given

i.e

Than the  equation becomes

x = 6

6

Step-by-step explanation:

Converting 7 ft to inches:

inches

We set up the equation as:

Now solving for would give us the number of 8.25 inch sections:

Hence, Mario can cut 6 (8.25 inch) sections from the rope

area = length x width

length = 2 x width

32 = 2 x width x width

32 = 2 x width^2

36 = width ^2  

width = 6

length = 12

area is 32

perimeter = 2 x 12 + 2 x 6 = 24 + 12 = 36

step-by-step explanation: