Question

The perimeter of a rectangle whose length and breadth are (x2 + xy + z2 ) unit and ( 2x2 – xy + 3 z2 ) unit , respectively is _________________

Answer 1

Step-by-step explanation:

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Answer 2

GIVEN :-

• Length of Rectangle = (5x² + 8x - 5).
• Breadth of Rectangle = (2x² + 3x - 3).

TO FIND :-

• The perimeter of Rectangle.

SOLUTION :-

$\\ : \implies \displaystyle \sf \: perimeter = 2(length + breadth)$

$: \implies \displaystyle \sf \: perimeter =2(length) + 2(breadth)$

$: \implies \displaystyle \sf \: perimeter =2(5x ^{2} + 8x - 5) + 2(2x ^{2} + 3x - 3)$

$: \implies \displaystyle \sf \: perimeter =(10x ^{2} + 16x - 10) + (4x ^{2} + 6x - 6)$

$: \implies \displaystyle \sf \: perimeter =10x ^{2} + 16x - 10 + 4x ^{2} + 6x - 6$

$: \implies \displaystyle \sf \: perimeter =10x ^{2} + 4x ^{2} + 16x + 6x - 10 - 6$

$: \implies \underline{ \boxed{\displaystyle \sf \: perimeter =14x ^{2} + 22x - 16 \: units}}$