Adrian is putting streamers across the ceiling of his dining room to decorate for his nephew’s birthday party. the ceiling is rectangular. its area is 122.5 square feet, and its width is 7 feet. how long should adrian cut a streamer that will run the length of the ceiling? a. 15 feet b. 17.5 feet c. 22.5 feet d. 28 feet e. 35 feet

Choice B) 17.5 feet

A = Area of rectangle

L = length

W = width

The formula to use is A = L*W, so we multiply length and width.

We know W = 7 but we don't know what L is.

We know that A = 122.5 is also given

So let's solve for L

A = L*W

L*W = A

L*7 = 122.5     plug in the given values

7*L = 122.5

7*L/7 = 122.5/7     divide both sides by 7

L = 17.5

He should cut 17.5 feet of streamer. Keep in mind that this only applies if Adrian wants to make the streamer completely taut and a straight line across the ceiling/wall. If he wants the streamer to hang down a bit (forming a shape like a rope bridge in a sense), then the streamer's length will have to be a bit longer to account for the extra distance along the curve.

more detail

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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