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nikdorinn [45]
3 years ago
5

HELP I NEED HELP ASAP

Mathematics
1 answer:
Paladinen [302]3 years ago
8 0
<h2>            <u>Rectangular</u> <u>Areas</u> <u>and</u> <u>Perimeters</u></h2>

The perimeter of a rectangle is given by:

\boxed{\bold{Perimeter = 2 (length + width)}}

In the problem we have these data:

  • Length = a
  • Width = -2x + 20
  • Perimeter = 6 + 2 (-2x + 20)

We replace the data in the equation of the perimeter:

<h3>6 + 2 (-2x + 20) = 2 (a - 2x + 20) </h3>

We apply distributive property:

6 - 4x + 40 = 2a - 4x + 40

6 = 2a

6 ÷ 2 = a

3 = a

⇒ Length = 3

The area of ​​the rectangle is given by:

\boxed{\bold{Area = 2 (length + width)}}

We have these data:

  • Length = 3
  • Width = -2x + 20

We replace the data in the equation of the area:

<h3>Area = (3) (- 2x + 20) </h3>

We apply the distributive property and obtain:

Area = -6x + 60

<u>The expression representing the area of ​​the rectangle will be -6x + 60</u>

<h3>I hope I've helped!</h3>
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