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tensa zangetsu [6.8K]
3 years ago
11

the remains of an ancient ball court include a rectangular playing alley with a perimeter of about 64 M. the length of the alley

is 2 times the width. find the length and the width of the playing alley​
Mathematics
1 answer:
igor_vitrenko [27]3 years ago
6 0

Answer:

<h2>The length is 21.3 meters</h2><h2>The width is 10.6 meters</h2>

Step-by-step explanation:

This problem is on the mensuration of flat shapes, a rectangular shape

we are required to solve for the length and width of the rectangular ball court

we know that the perimeter is expressed as

P= 2(L)+2(W)

let the width be x

hence the length is 2x

Given data

perimeter = 64 meters

length l= 2x

width w= x

Substituting our data  and solving for x we have

64= 2(2x)+2(x)\\\\64= 4x+2x\\\\64= 6x

Dividing both sides by 6 we have

x=\frac{64}{6}\\\\ x= 10.66

Hence the width is 10.66 meters

The length is 2x= 2(10.66)= 21.33 meters

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To solve the problem we must know the Basic Rules of Exponentiation.

<h2>Basic Rules of Exponentiation</h2>
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<h2>Explanation</h2>

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Using identity (xy)^a = x^ay^a,

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Solving further

=2^2x^4y^{-6}

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=\dfrac{2^2x^4}{y^6}

=\dfrac{4x^4}{y^6}

Hence, the solution of the expression is \dfrac{4x^4}{y^6}.

Learn more about Exponentiation:

brainly.com/question/2193820

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