Robert wants to buy wrapping paper to cover a square-shaped painting. to determine the size of the wrapping paper needed for the painting, he adds 9 inches to each side of the painting. robert picks out wrapping paper with a perimeter of 120 inches to wrap the square-shaped painting.
what are the side lengths of the painting and the wrapping paper?

The side length of the painting and the wrapping paper are 21 inches and 30 inches respectively.

Step-by-step explanation:

Let x be the side length ( in inches ) of the square shaped painting,

∵ After adding 9 inches in each side,

The new side length of the square = (x+9) inches, ( wrapping paper side length )

∵ Perimeter of a square = 4 × (side length)

Thus, the perimeter of the new square = 4(x+9) in

According to the question,

4(x+9) = 120

x + 9 = 30

x = 21

Hence, the side length of the square = 21 inches,

And, the side length of the wrapping paper = 30 inches

3/6   and 9/18

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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