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Oksanka [162]
2 years ago
11

the length of a new rectangle playing field is 6 yards longer than quadruple the width. if the perimeter of the rectangle plaing

field is 532 yards, what are its dimensions?
Mathematics
1 answer:
Vika [28.1K]2 years ago
5 0

The length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

<h3>What is the area of the rectangle?</h3>

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

We have:

The length of a new rectangle playing field is 6 yards longer than quadruple the width.

Let's suppose the length is l and width is w of a rectangle:

From the problem:

l = 6 + 4w

Perimeter P = 2(l + w)

532 = 2(l + w)

Plug l = 6+4w in the above equation:

532 = 2(6 + 4w + w)

266 = 6 + 5w

260 = 5w

w = 52 yards

l = 6 +4(52) = 214 yards

Thus, the length and width of a new rectangle playing field are 214 yards and 52 yards respectively.

Learn more about the area of rectangle here:

brainly.com/question/15019502

#SPJ1

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Can someone explain this to me please will give brainliest
KATRIN_1 [288]
The answer is A. for this, you have to set up a system of equations. the first one will be the area equation. since you know area=length x width, your equation will be LxW=50. the next equation is L=2W, since the length is two times the width. then, plug in 2W for the L in the other equation and you get 2W^2=50. divide by 2 and get W^2=25. square root both sides and you get W=5. plug back into the other equation to find L=10. Then, add the sides of the rectangle for the perimeter. 10+5+10+5=30.
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3 years ago
7 ∙ 15 can be written as _____.<br> 5(7 + 10)<br> 10(7 + 5)<br> 7(10 + 5)
Bogdan [553]
Both side multiply by one number.
8 0
3 years ago
Read 2 more answers
Solve for X. x-9+2wx=y
iragen [17]

Answer:

x=(y+9)/(1+2w)

Step-by-step explanation:

x-9+2wx=y

We make x the subject

x+2wx=y+9

x(1+2w)=y+9

Divide both sides by (1+2w)

x(1+2w)/(1+2w)=y+9(1+2w)

x=(y+9)/(1+2w)

5 0
3 years ago
Write an equation, in point-slope form, for the line that goes through points (4,4) and (-4,-1).
Soloha48 [4]

Answer:

C.) Y= 5/8x + 1 1/2

Step-by-step explanation:

To write the equation of a line, calculate the slope between points (4,4) and (-4,-1). After, substitute the slope and a point into the point slope form.

m = \frac{y_2-y_1}{x_2-x_1} = \frac{4--1}{4--4}= \frac{5}{8}

Substitute m = 5/8 and the point (4,4) into the point slope form.

y - y_1 = m(x-x_1)\\y -4 = \frac{5}{8}(x-4)\\y-4 = \frac{5}{8}x - \frac{20}{8} \\\y = \frac{5}{8}x - 2{1}{2} + 4 \\ y = \frac{5}{8}x + 1\frac{1}{2}

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3 years ago
Trains on the Glasgow Subway depart every 4 minutes, and a complete circuit takes 24 minutes. Ewan sets off at 8.30 am on a trai
Stolb23 [73]
Trains depart after every 4 minutes.
Total time train takes to complete a circuit= 24 minutes
Evan sets off at 8:30 am, so  he will be back at 8:54 am.
So time of trains coming in opposite direction:
8: 34 am
8:38 am
8:42 am
8:46 am
and 8:50 am
5 trains coming in opposite directions.
Now the trains started at 8:06 am from the stations are:
8:06 am
8:10 am
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and 8:26 am.
So there are 6 trains started the circuit at 8:06 am.

Now total number of trains=6+5=11 trains

Answer: 11 trains will pass on complete circuit.

7 0
3 years ago
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