Question

the four sides of the quadrilateral are given by the expressions x+4,2x-2,3x-8 and 40-5x. Find the perimeter of the quadrilateral

Answer 1

Given :
Four sides of quadrilateral are,
(x+4), (2x-2), (3x-8) and (40-5x)

$\bf{Perimeter\: of \:quadrilateral = sum \:of\: all\: four \:sides. }$

So,
Perimeter of quadrilateral is,

= (x+4) + (2x-2) + (3x-8) + (40-5x)

= x + 2x + 3x - 5x + 4 - 2 - 8 + 40

= 6x - 5x + 4 + 40 - 10

= x + 44 - 10

= x + 34

Hence, the perimeter of the quadrilateral is (x +34).

Answer 2

According to the question,
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The 4 sides of the quadrilateral given are:
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x+4, 2x-2, 3x-8 & 40-5x
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Perimeter of the given quadrilateral =sum of the total
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Perimeter of quadrilateral is :
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(x+4)+(2x-2)+(3x-8)+(40-5x)
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=x+2x+3x-5x+4-2-8+40
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=6x-5x+4+40-10
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=x+34
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•°•The perimeter of the quadrilateral is x + 34.
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