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Grace [21]
3 years ago
8

A rectangle has a perimeter of 204 feet. It's length is six feet longer than twice it's width. If L stands for the length of the

rectangle and W stands for its width, write a system of equations that models the information given in this problem and solve it to find the length and width of this rectangle
Mathematics
1 answer:
Ratling [72]3 years ago
7 0

Answer:

L = 70

W = 32

Step-by-step explanation:

P = 2L + 2W

P 204 feet

W = x

L  = 2x + 6

P = 2L + 2W

P = 2*(2x + 6) + 2*x

P = 4x + 12 + 2x

P = 6x + 12

But we know that P = 204  So 6x + 12 = 204

6x + 12 = 204                    Subtract 12 from both sides

6x + 12 - 12 = 204 - 12       Collect like terms on the right

6x = 192                             Divide by 6

x = 192/6

x = 32

Answer

W = 32

L = 2*W + 6

L = 2*32 + 6

L = 64 + 6

L = 70


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Giovanna has two possible driving routes to her new workplace, and she is having a hard time figuring out which is faster. The f
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Experiment

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5 0
2 years ago
I need help with this equation please!<br><br> 15- w/4 = 28
Luda [366]

Answer:

w= -52

Step-by-step explanation:

We simplify the equation to the form, which is simple to understand  

15-w/4=28

Simplifying:

15-0.25w=28

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-0.25w=+28-15

We simplify left and right side of the equation.  

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We divide both sides of the equation by -0.25 to get w.  

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Hope it Helps :) !!

8 0
3 years ago
A rectangle is 20 meters long and 20 meters wide. If the length is increased by 10% and the width is decreased by 10%, what is t
Solnce55 [7]

Consider that the initial length and width of the rectangle are given as,

\begin{gathered} l=20 \\ b=20 \end{gathered}

After the length is increased by 10%, the new length (L) of the rectangle is calculated as,

\begin{gathered} L=(1+\frac{10}{100})\cdot l \\ L=(\frac{110}{100})\cdot20 \\ L=22 \end{gathered}

After the width is decreased by 10%, the new width (B) of the rectangle is calculated as,

\begin{gathered} B=(1-\frac{10}{100})\cdot b \\ B=(\frac{90}{100})\cdot20 \\ B=18 \end{gathered}

Then the area (A) of the new rectangle is calculated as,

\begin{gathered} A=L\times B \\ A=22\times18 \\ A=396 \end{gathered}

Thus, the new area of the rectangle is 396 square meters.

7 0
1 year ago
Can someone please help? i don’t know how to solve this.
Charra [1.4K]

Answer:

Hey there!

We have the absolute value of x is greater than two.

Thus, to solve absolute value inequalities, we want to break the inequality down.

We break this down to

x>2

x<-2

Thus, we don't need to simplify this any further, and have our answer.

Hope this helps :)

8 0
3 years ago
Read 2 more answers
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