Question

Find the perimeter of a rectangle with sides (5x 2 – 7x) units and (2x2 + x) units.
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Answer 1

GIVEN :-

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

TO FIND :-

• The perimeter of Rectangle.

SOLUTION :-

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

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

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

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

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

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

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

Answer 2

Perimeter of the rectangle = 2 [ 7x² – 6x] units

Given:

Sides of a rectangle are (5x² – 7x) units and (2x² + x) units

To find:

Perimeter of rectangle

Solution:

As we know the formula for perimeter of a rectangle is given by

            Perimeter = 2 [ Length + breadth ]  

From given data,

Let Length = (5x² – 7x) units

And Breadth = (2x² + x) units

Perimeter of the rectangle = 2 [ 5x² – 7x + 2x² + x ]

= 2 [ 5x² – 7x + 2x² + x ]

= 2 [ 7x² – 6x]

Therefore,

Perimeter of the rectangle = 2 [ 7x² – 6x] units

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