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3 years ago

6

The wards decided to use carpet tiles in the family room. The room has an area of 176 square feet and is 5 feet longer than it i

s wide. Find the dimensions of the family room

1 answer:

ipn [44]3 years ago

5 0

Answer:

The dimensions of the room are length is <u>16 feet </u>and the width is <u>11 feet</u>.

Step-by-step explanation:

Given:

The wards decided to use carpet tiles in the family room. The room has an area of 176 square feet and is 5 feet longer than it is wide.

Now, to get the dimensions.

Let the width be $x.$

So, the length = $x+5.$

Area = 176 square foot.

So, we put formula of area to get the dimensions:

Area = length × width.

$176=(x+5)\times x$

$176=x^2+5x$

<em>Subtracting boths sides by 176 we get:</em>

$0=x^2+5x-176\\x^2+5x-176=0$

<em>On solving the equation:</em>

<em /> $x^2+16x-11x-176=0\\x(x+16)-11(x+16)=0\\(x+16)(x-11)=0$ <em />

<em>As, </em>

$x+16$ = 0

$x=-16$

<em>So, we would not take the negative result.</em>

<em>Thus, </em>

$x-11=0\\x=11$

<u>So, the width = 11 feet.</u>

Now, to get the length by substituting the value of $x$ :

$x+5\\=11+5\\=16$

<u>The length = 16 feet.</u>

Therefore, the dimensions of the room are length is 16 feet and the width is 11 feet.

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Answer:

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Step-by-step explanation:

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Therefore, in

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Answer:

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Step-by-step explanation:

As given

$Monique\ made\ several\ batches\ of\ soup\ for\ a\ potluck\ supper.$

$Each\ batch\ required\ \frac{3}{4}\ of\ a\ pound\ of\ potatoes.$

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Solving the above

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In the decimal form.

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$Therefore\ the\ value\ of\ \frac{6 \frac{1}{2}}{\frac{3}{4}} \ is\ \frac{26}{3}.$

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Step-by-step explanation:

all are obeying a constant ratio

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lead 5
total 100 ⇒250
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2 years ago

Read 2 more answers

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Answer:

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The random assignment guarantees ‘Unbiased’ results - good students and bad are just as likely to get the SI or control.

c)There wouldn't be any basis for comparison otherwise.

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