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Tamiku [17]
3 years ago
10

Whats the perimiter of the following rectangle? The side says x - 2 and the bottom says 2x + 1​

Mathematics
1 answer:
irakobra [83]3 years ago
8 0

Answer:

6x-2

Step-by-step explanation:

The perimeter of a rectangle is found by

P = 2(l+w)

  =2( x-2 + 2x+1)

Combine like terms

P = 2(3x-1)

Distribute

P = 6x-2

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The length of a rectangular floor is 4 feet longer than its width w. The area of the floor is 525 ft^2.
andre [41]

Answer:

  • 525 = (w+4)(w)
  • 21 ft by 25 ft

Step-by-step explanation:

Let w represent the width of the floor. Then the length of the floor is (w+4) and its area is ...

  A = LW

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Solutions are ...

  w = 21, w = -25

We are interested in the positive solution: w = 21.

The floor is 21 feet wide and 25 feet long.

_____

<em>Alternate solution</em>

Sometimes, when the factors aren't obvious, it works well to write an equation for the average of the dimensions. Here, we can represent that with x, and use (x-2) for the width, and (x+2) for the length. Then we have ...

  525 = (x-2)(x+2) = x^2 -4

  529 = x^2

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Then w=23 -2 = 21, and the length is w+4 = 25.

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3 years ago
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Step-by-step explanation:

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