Question

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?

Answer 1

26 m and 20 m

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