JaevienQ327720 JaevienQ327720
  • 25-10-2022
  • Mathematics
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The perimeter of a rectangle is 250x - 300, Find thr length of the rectangle if its width is 10x - 20

The perimeter of a rectangle is 250x 300 Find thr length of the rectangle if its width is 10x 20 class=

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SoutaG692776 SoutaG692776
  • 25-10-2022

Answer

Option C is correct.

Length of the rectangle = 115x - 130

Explanation

The perimeter of a rectangle is given as

Perimeter = 2 (L + W)

where

Perimeter = 250x - 300

L = Lenght of the rectangle = ?

W = Width of the rectangle = 10x - 20

Perimeter = 2 (L + W)

250x - 300 = 2 (L + 10x - 20)

250x - 300 = 2L + 20x - 40

We can then rewrite this

2L + 20x - 40 = 250x - 300

2L = 250x - 20x - 300 + 40

2L = 230x - 260

Divide through by 2

(2L/2) = (230x - 260)/2

L = 115x - 130

Hope this Helps!!!

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