Question

The length of a rectangle is 16 cm more than its breadth. If the perimeter is 148 cm find the length and breadth of the rectangle.​

Answer 1

Given:

• Length of Rectangle is 16 cm more than its breadth.
• Perimeter of Rectangle = 148 cm

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To find:

• Length and breadth of Rectangle?

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Solution:

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☯ Let breadth of rectangle be x cm.

☯ Therefore, Length of rectangle (x + 16) cm.

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$\underline{\bigstar\:\boldsymbol{According\: to\:the\:question\::}}$

$:\implies\sf 2(x + (x + 16)) = 148$

$:\implies\sf (x + (x + 16) = \cancel{\dfrac{148}{2}}$

$:\implies\sf (x + (x + 16) = 74$

$:\implies\sf 2x + 16 = 74$

$:\implies\sf 2x = 74 - 16$

$:\implies\sf 2x = 58$

$:\implies\sf x = \cancel{ \dfrac{58}{2}}$

$:\implies{\boxed{\sf{\pink{x = 29}}}}\;\bigstar$

Therefore,

Breadth of Rectangle, x = 29 cm

Length of Rectangle, (x + 16) = 45 cm

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∴ Hence, Length and Breadth of rectangle is 45 cm and 29 cm respectively.