aahil16r
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Half the perimeter of a rectangular room is 46 m, and its length is 6 m more than its breadth. What is the length and breadth of the room?

Respuesta :

mhanifa

Answer:

26 m and 20 m

Step-by-step explanation:

Let the length of the room be l, the breadth be b and perimeter be P.

Given:

  • P/2 = 46 m
  • l = b + 6 m

Solution

Since P = 2(l + b), P/2 = l +b, we have following equations:

  • l + b = 46
  • l = b + 6

Substituting l in first equation:

  • b + 6 + b = 46
  • 2b + 6 = 46
  • 2b = 40
  • b = 20 m

Then the length is:

  • l = b + 6 = 20 + 6 = 26 m

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