00:01
Hi there, i'm just working through the questions on numerate and i saw your question pop up and thought we would give it a go.
00:06
A rectangular room is two times as long as it is wide and its perimeter is 25 meters.
00:13
Find the dimensions of the room.
00:14
Now this is definitely some algebra that we're going to have to use, and we're going to make this nice room, which is a rectangle for us.
00:22
So he says that the room is two times long as it is wide.
00:25
So if i said that the room was x wide, then lengthwise has to be 2x and that needs to be x and that needs to be 2x.
00:34
And what we know that is if we add all these up we would get perimeter.
00:38
So adding them all together, 2x plus 2x plus x plus x equals 6x and we know that 6x in the real world should be 25 meters.
00:53
Adding this and solving we end up with x is equal to 25 divided by 6 and i think we will use a calculator for this question just to get an exact solution.
01:07
To get the exact solution here, we will do 25 divided...