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2 years ago

The length of a rectangle is 4 inches more than the width.The perimeter is 136 inches

Mathematics

1 answer:

nataly862011 [7]2 years ago

4 0

lets start by labeling the rectangle. let w = width so length(l) = w+4 (i.e 4 more than the width)

Perimeter of a rectangle= sum of all the sides= l+ w+l+w=2l +2w

now we know that p = 2l + 2w = 100

but we know that l=w+ 4

2(w+4) +2w=100

2w +8 +2w = 100

4w+8 =100

4w= 92

w=23

and if we substitute into 2l+2w= 100

we will get l =27.

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Use the linear combination method to solve the system of equations. Explain each step of your solution. 2x-3y=13 4x-y=-9

Tems11 [23]

2x -3y = 13

4x -y = -9

Multiply the second equation by -3 to make the coefficient of Y opposite the first equation.

4x -y = -9 x -3 = -12x + 3y = 27

Now add this to the first equation:

2x -12x = -10x

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13 +27 = 40

Now you have :

-10x = 40

Divide each side by -10:

x = 40 / -10

x = -4

Now you have a value for x, replace that into the first equation and solve for y:

2(-4) - 3y = 13

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Add 8 to both sides:

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Divide both sides by -3:

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Now you have X = -4 and y = -7

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3 years ago

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3 years ago

Ryan took out a 66 month loan to pay for a 28500 car.if he paid 33829.50,in total at the end of the loan,find the interest rate

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3 years ago

Find the area of the regular polygon

Y_Kistochka [10]

Answer:

A = 374.123 ft^2

Step-by-step explanation:

First, lets calculate the perimeter:

Perimeter (p) = side length (s) * number of sides (n)

$p = s * n$

$p = 12 * 6$

$p = 72$

Next, lets find the apothem, which is the shortest length from any side to the middle. It's like the radius in a circle, but more complicated.

Apothem (a) = side length (s) / ( 2 * tan(180/number of sides (n)) )

$a = \frac{s}{2 * tan (\frac{180}{n} )}$

$a = \frac{12}{2 * tan (\frac{180}{6} )}$

$a = \frac{12}{2 * \frac{\sqrt{3} }{3}}$

$a = \frac{12}{\frac{2\sqrt{3} }{3}}$

$a = \frac{12*3}{2\sqrt{3}}$

$a = \frac{6*3}{\sqrt{3}}$

$a = \frac{18}{\sqrt{3}}$

Now, finally, to find the area of a regular polygon, we use the following equation:

Area (A) = ( apothem (a) * perimeter (p) ) / 2

$A = \frac{a * p}{2}$

$A = \frac{\frac{18}{\sqrt{3} } * 72}{2}$

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Turning into a decimal:

$A = 374.123 ft ^2$

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