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Oksanka [162]
1 year 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]1 year 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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Answer:

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Step-by-step explanation:

Set up the equation:

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20t^2 = 15000

t^2 = 750

t = \sqrt{750} = \sqrt{10} \cdot \sqrt{25} \cdot \sqrt{3} = 5\sqrt{30}

The year will be simply 1998 + 5 \sqrt{30}

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2 years ago
I feel like I’m missing something simple. Please help explain?
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Emmanuel added two integers Which condition will always give Emmanuel a negative solution when he adds two integers? Both intege
alexgriva [62]

Both integers have negative values

Explanation

Let

x and y represents the number

so, the options are

\begin{gathered} +\text{   +     +} \\ +\text{  +      -} \\ -\text{     +     +} \\ -\text{   +-} \end{gathered}

a) Both integers have negative values Both integers

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b) Both integers have positive values

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c)One integer has a positive value, and one integer has a negative value

\begin{gathered} -x+y\text{  or x-y} \\ the\text{ sign of the result depends on the greates absolute value, it means the answer will have the same of the bigger number( absolute value)} \end{gathered}

d)The values of the two integers are opposites​

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so, the answer is Both integers have negative values

I hope this helps you

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1 year ago
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