Can someone help me?

Mathematics

2 answers:

stira [4]2 years ago

8 0

$\bold{FULL SOLUTION:}$

Rama09 [41]2 years ago

7 0

Look up on yt how to find those. They r pretty easy.

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A rectangle has a perimeter of 36 feet. The length of the mat is twice the width. Write and solve an equation to determine the l

Lorico [155]

❍ Concept :-

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We have been provided with some information regarding a rectangular shaped mat. And on the basis of that information, we will create some assumptions and create and equation and equate it to get our required answer.

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✱ Given Information :-

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A rectangular mat with,

Perimeter = 36 ft.
Length = twice the width

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✱ To Find :-

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The dimensions of the mat
Area of the mat

⠀

✱ Formula Used :-

⠀

$\diamond \: \underline{ \boxed{\begin{array}{cc} \sf1. \: Perimeter_{Rectangle} = 2(l+b) \\ \\ \sf 2. ~Area_{Rectangle} = l\times b \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \end{array}}} \: \star \\$

⠀

✱ Solution :-

⠀

Let the breadth of the mat be x, therefore,

Length = 2x

⠀

Now, according to the question,

⠀

$\sf \hookrightarrow 36 \: = 2(2x + x) \\ \\ \\ \sf \hookrightarrow 6x = 36 \: ft. \: \: \: \: \: \: \: \: \: \\ \\ \\ \sf \hookrightarrow x = \cancel\frac{36}{6} = 6 \: ft. \: \: \\$