Question

Find the perimeter of the rectangle

Answer 1

$\bf \dag \gray{ \frak{Given:}}$

• Length of rectangle = 4x + 8
• Breadth of rectangle = 2x + 3

$\bf \dag \gray{ \frak{To~Find:}}$

• Perimeter of rectangle

We know:-

$\bigstar \boxed{ \rm Perimeter \: of \: rectangle = 2(length + breadth)}$

So:-

$: \implies\sf Perimeter \: of \: rectangle = 2(length + breadth)$

$: \implies\sf Perimeter \: of \: rectangle = 2( \{4x + 8 \} + \{2x + 3 \})$

$: \implies\sf Perimeter \: of \: rectangle = 2( 4x + 8 +2x + 3)$

$: \implies\sf Perimeter \: of \: rectangle = 2( 4x + 2x+ 8 + 3)$

$: \implies\sf Perimeter \: of \: rectangle = 2( 6x+ 8 + 3)$

$: \implies\sf Perimeter \: of \: rectangle = 2( 6x+11)$

$: \implies\sf Perimeter \: of \: rectangle = 2( 6x) + 2(11)$

$: \implies\sf Perimeter \: of \: rectangle = 12x + 2(11)$

$: \implies\bf Perimeter \: of \: rectangle = 12x + 22$

$\therefore\underline {\textsf{\textbf{ Perimeter \: of \: rectangle = 12x + 22}}}$

Answer 2

The perimeter of the rectangle is 12x + 22.

How to solve the perimeter?

The perimeter of a rectangle is calculated by the formula:

= 2(length + Braeadth)

In this case, the perimeter will be:

= 2(4x + 8 + 2x + 3)

= 12x + 22

In conclusion, the perimeter is 12x + 22.

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