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3 years ago

The perimeter of a rectangular garden is 374.

Mathematics

1 answer:

marusya05 [52]3 years ago

3 0

Answer:

The width is 88

Step-by-step explanation:

Perimeter of a rectangle: 2L + 2W

Step 1: Solve for W

374 = 2(99) + 2W

374 - 198 = 198 + 2W - 198

176 / 2 = 2W / 2

88 = W

Answer: The width is 88

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Gnoma [55]

Answer:

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Step-by-step explanation:

We have been given an equation $\frac{-2}{x(x+2)}=\frac{x+3}{x+2}$ . We are asked to find the solutions of our given equation.

First of all, we will cross multiply our given equation as:

$-2(x+2)=x(x+2)(x+3)$

Subtract $x(x+2)(x+3)$ from both sides:

$-2(x+2)-x(x+2)(x+3)=x(x+2)(x+3)-x(x+2)(x+3)$

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Now we will factor out $(x+2)$ .

$(x+2)(-2-x(x+3))=0$

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$(x+2)(-(x^2+3x+2))=0$

Now we will factor by splitting the middle term.

$-(x+2)(x^2+2x+x+2)=0$

$-(x+2)(x+2)(x+1)=0$

$-(x+2)^2(x+1)=0$

Now we will use zero product property and solve for x as:

$-(x+2)^2=0,(x+1)=0$

$(x+2)=0,(x+1)=0$

$x=-2,x=-1$

Now, we will check for extraneous solutions.

We can see that $x=-2$ will make both denominators zero because our function is not defined at $x=-2$ .

Therefore, the solution for our given equation is $x=-1$ .

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