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A rectangular room is 4 meters longer than it is wide, and its perimeter is 28 meters. Find the dimension of the room.

Verified Answer :

Answer: The width of the room = 5 meters

The length of the room = 9 meters

Step-by-step explanation:

Let the w denotes the width of the room , then length of the room will be :-

\(\text{length}=4+w\)

The formula of perimeter of rectangle :-

\(\text{Perimeter}=2(l+w)\\\\\Rightarrow\ 28=2(4+w+w)\\\\\Rightarrow\ 28=2(4+2w)\\\\\Rightarrow\ 28 =8+4w\\\\\Rightarrow\ 4w=20\\\\\Rightarrow\ w=5\)

Hence, The width of the room = 5 meters

The length of the room = 5+4 = 9 meters