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Papessa [141]
3 years ago
11

Im almost done with it

Mathematics
1 answer:
baherus [9]3 years ago
4 0

Answer:

Area of rectangle = \mathbf{x^2-4x}

Perimeter of rectangle = \mathbf{4x-8}

Step-by-step explanation:

We are given:

Length of rectangle = x

Width of rectangle = x-4

We are not given if we want to find area of rectangle or perimeter of rectangle.

So, I will be finding both

Area of rectangle

The formula used is: Area\: of\: rectangle=Length \times Width

Putting values and finding area

Area\: of\: rectangle=Length \times Width\\Area\: of\: rectangle=x \times (x-4)\\Area\: of\: rectangle=x^2-4x

So, we get area of rectangle = \mathbf{x^2-4x}

Perimeter of rectangle

The formula used is: Perimeter \: of\: rectangle=2(Length+ Width)

Putting values and finding perimeter

Perimeter \: of\: rectangle=2(Length+ Width)\\Perimeter \: of\: rectangle=2(x+ x-4)\\Perimeter \: of\: rectangle=2(2x-4)\\Perimeter \: of\: rectangle=4x-8

So, we get perimeter of rectangle = \mathbf{4x-8}

I hope, it can help in solving the question.

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\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{-5})~\hspace{10em} \stackrel{slope}{m}\implies -\cfrac{4}{5} \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-\stackrel{y_1}{(-5)}=\stackrel{m}{-\cfrac{4}{5}}[x-\stackrel{x_1}{(-4)}]\implies y+5=-\cfrac{4}{5}(x+4) \\\\\\ y+5=-\cfrac{4}{5}x-\cfrac{16}{5}\implies y=-\cfrac{4}{5}x-\cfrac{16}{5}-5\implies y=-\cfrac{4}{5}x-\cfrac{41}{5}

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