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erastovalidia [21]
2 years ago
12

Each dimension of a rectangular family room is 3.5 times larger than the rectangular bedroom. if it costs $312 to carpet the bed

room, how much would cost to carpet the family room with the same carpet?
Mathematics
2 answers:
Oksana_A [137]2 years ago
7 0

Answer:

$3822

Step-by-step explanation:

We are given that Each dimension of a rectangular family room is 3.5 times larger than the rectangular bedroom.

So, length of a rectangular family room must be 3.5 times larger than rectangular bedroom.

And Breadth of a rectangular family room must be 3.5 times larger than rectangular bedroom.

So, area of rectangular family room must be larger than rectangular bedroom by 3.5^2 =12.25  times

So, Area of rectangular family room must be 12.25 times larger than rectangular bedroom

Now cost of carpet for bedroom  = $312

So, cost of same carpet for family room = 312 \times 12.25

                                                                  = 3822

Hence the cost to carpet the family room is $3822.

Deffense [45]2 years ago
3 0
So,

I'm assuming that this is a simple multiplication problem.

All we have to do (I'm assuming) is multiply 312 by 3.5.
312 * 3.5 = $1092

It will cost $1092 to carpet the family room with the same carpet.
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The area of the garden is 120 square metre

<h2>Explanation:</h2>

The picture of the garden is shown below. In this problem, we have:

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Recall that the area of a square is given by:

A_{s}=L^2 \\ \\ A_{s}:Area \ of \ a \ square \\ L:Side \ of \ the \ square

On the other hand, the area of a rectangle is given by:

A_{r}=L_{1}\times L_{2} \\ \\ \\ A_{r}:Area \ of \ a \ rectangle \\ \\ L_{1}:Side \ 1 \ of \ the \ rectangle \\ \\ L_{2}:Side \ 2 \ of \ the \ rectangle

Therefore:

FOR THE SQUARE:

L=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{s}=4^2 \\ \\ \boxed{A_{s}=16m^2}

FOR THE RECTANGLE 1:

L_{1}=6m \\ L_{2}=4m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{1}}=6(4) \\ \\ \boxed{A_{r_{1}}=24m^2}

FOR THE RECTANGLE 2:

L_{1}=10m \\ L_{2}=8m \\ \\ \\ Substituting \ values: \\ \\ \\ A_{r_{2}}=10(8) \\ \\ \boxed{A_{r_{2}}=80m^2}

Finally, the area of a garden is the sum of the three areas:

A_{total}=A_{s}+A_{r_{1}}+A_{r_{2}} \\ \\ A_{total}=16m^2+24m^2+80m^2 \\ \\ A_{total}=16+24+80 \\ \\ \boxed{A_{total}=120m^2}

<h2>Learn more:</h2>

Area of a pizza: brainly.com/question/12878495

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Answer:

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(b)  x=\frac{\pi }{8}

Step-by-step explanation:

It is given that 0\leq x\leq 2\pi

(a) We have given equation 2sinx+\sqrt{3}=0

sinx=\frac{-\sqrt{3}}{2}

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