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shepuryov [24]
3 years ago
14

a rectangle with a length of 3x and a width of x+1 has the same perimeter as a rectangle with a width of x and a length of 2x-2.

find the actual dimensions of each figure.
Mathematics
1 answer:
rosijanka [135]3 years ago
4 0

Answer:

8

Step-by-step explanation:

value

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56 points for whoever answers correctly !
vladimir2022 [97]

We need to use what we know about rectangles to get:

1)

  • Total length = 2*W + 8ft
  • Total width = W + 8ft

2) area = 2*W^2 + 24ft*W + 64ft^2

<h3>Working with rectangles:</h3>

We know that rectangles are defined by two measures, width W and length L.

Here we do know that the length of the pool is twice the width, and the width is W, then the length of the pool is:

L = 2*W

And we also have a sidewalk of 4ft all around the pool, now we want to get:

1) The total length and the total width.

This will be equal to the length/width of the pool <u>plus twice the width of the sidewalk</u> (we add it twice because is in both ends) then we have:

  • Total length = L + 2*4ft = 2*W + 8ft
  • Total width = W + 2*4ft = W + 8ft

2) Now we want to get an expression for the total area of the pool.

Remember that for a rectangle the area is just the product between the width and the length, so to get the area of the pool with the sidewalk we just take:

area = (total length)*(total width)

area = (2*W + 8ft)*(W + 8ft) = 2*W^2 + 3*W*8ft + 64ft^2

area = 2*W^2 + 24ft*W + 64ft^2

This is the equation that gives the total area as a function of W, the width of the pool.

If you want to learn more about rectangles, you can read:

brainly.com/question/17297081

6 0
3 years ago
Esther drove to work in the morning at an average speed of 45 miles per hour. She returned home in the evening along the same ro
nydimaria [60]
The key is Esther travelled the same distance - x - in both her morning and evening commute.

45(time she took in the morning, or p) = x
30(time she took in the evening, or q) = x

Therefore 45(p) = 30(q), or divide both sides by 5 and get 9(p) = 6(q). I know you can divide it further, but these numbers are small enough and it's not worth the time.

Since the whole trip took an hour, (p + q) = 60min, and so, p = 60-q.

Therefore 9(60-q) = 6q or 540-9q = 6q. So 540 = 15q, which makes q = 36. If q = 36, then by (p+q)=60, p (the time she took in the morning) must equal 24.

45 miles per hour, her speed in the morning, times (24/60) hours, her time, makes 18 miles travelled in the morning. If you check, 30 miles per hour times (36/60) hours also makes 18 miles in the evening.

<span>Hope that makes a little sense. And I also hope it's right</span>
7 0
3 years ago
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Please help ASAP!!! Will give Brainly!!! What are the x-intercepts of the parabola?
svetoff [14.1K]

Answer:

I think it's

4.5

5

0.4

0

0

5

4

maybe, maybe not.

Step-by-step explanation:

6 0
3 years ago
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10 tens and 10 ones equals
jenyasd209 [6]

Answer:

110 is the answer because 10 tens equal 100 and 10 ones equal 10

Step-by-step explanation:


8 0
3 years ago
WILL MARK BRAINLIEST A number cube is rolled and a coin is flipped. Predict how many times you would get heads and a number grea
Over [174]

Answer:

coin flip is 1/2

2 numbers are less than 3 so 2/6 = 1/3

1/2 x 1/3 = 1/6 probability total

240 x 1/6 = 40

answer is C) 40

Step-by-step explanation:

8 0
3 years ago
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