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Mathematics

The length of a rectangle is 8 m more than its breadth. If the perimeter of the rectangle is 40 m, the length of the rectangle is:

  1. 6 m

  2. 12 m

  3. 14 m

  4. 20 m

Linear Eqns One Variable

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Answer

Let the breadth of the rectangle be a.

So, length of the rectangle = 8 + a

Perimeter of the rectangle = 40

As we know, perimeter = 2(l + b)

Putting the value,

⇒ 40 = 2((8 + a) + a)

⇒ 40 = 2(8 + a + a)

⇒ 40 = 2(8 + 2a)

⇒ 40 = 16 + 4a

⇒ 4a = 40 - 16

⇒ 4a = 24

⇒ a = 244\dfrac{24}{4}

⇒ a = 6

Length = a + 6 = 8 + 6 = 14 m

Hence, option 3 is the correct option.

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