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Dafna1 [17]
3 years ago
7

A field is a rectangle with a perimeter of 1040 feet. The length is 300 feet more than the width. Find the width and the length

of the rectangular field. What is the width of the rectangular field?
Mathematics
1 answer:
Ratling [72]3 years ago
4 0

Answer:

Width = 110 ft

Step-by-step explanation:

width = x

length = x + 300

To find the width, we use the formula for perimeter, substituting 1040 for perimeter, x + 300 for length, and x for width:

P=2(l+w)\\\\1040=2[(x+300)+x]

Combine like terms inside the brackets:

1040=2(2x+300)

Distribute the 2 within the parentheses:

1040=4x+600

Subtract 600 from both sides:

440=4x

Divide both sides by 4:

110=x

Therefore, the width is 110 ft and the length is 410 ft. To verify, we can check that the perimeter equals 1,040 ft.

P=2(l+w)\\P=2(410+110)\\P=2(520)\\P=1040\\Check.

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When traveling with the current, it takes Kamal 1 hour to travel 12 miles on a boat. It takes the boat 1.5 hours to travel the s
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Answer:

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

Step-by-step explanation:

r = rate of boat (speed of boat)

t = time

d = distance.

c = rate of current (speed of current)

with the current, the formula becomes (r + c) * t = d

against the current, the formula becomes (r - c) * t = d

going with the current, the boat takes 1 hour to travel 12 miles.

therefore:

(r + c) * t = d becomes (r + c) * 1 = 12

going against the current, the boat takes 1.5 hour to travel the same 12 miles.

therefore:

(r - c) * t = d becomes (r - c) * 1.5 = 12.

your two equations that need to be solved simultancously are:

(r + c) * 1 = 12

(r - c) * 1.5 = 12

divide both sides of the second equation by 1.5 and leave the first equaion as is to get:

 

r + c = 12

r - c = 8

add the equations together to get:

2 * r = 20

solve for r to get:

r = 20 / 2 = 10

(r + c) * 1 = 12 becomes (10 + c) * 1 = 12

simplify to get 10 + c = 12

solve for c to get c = 12 - 10 = 2

(r - c) * 1 = 8 becomes (10 - c) * 1 = 8

simplify to get 10 - c = 8

solve for c to get c = 10 - 8 = 2

you have:

r = 10

c = 2

that's your solution.

the rate / speed of the boat is 10 miles per hour.

the rate / speed of the current is 2 miles per hour.

6 0
3 years ago
PLEASE HELP!
irakobra [83]
Y = mx + b
so it should be
Y = 1x + 2
6 0
2 years ago
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