## anonymous one year ago A rectangle room is three times as long as it is wide and it perimeter is 56 m find the width of the room

• This Question is Open
1. anonymous

$3l=w$

2. anonymous

l represents length and w represents width. Therefore, the length w is 3 times bigger than the length. The equation for perimeter is $P=2l+2w$

3. anonymous

Now just plug in the value for w in terms of l and it looks like this: $P = 2l+2(3l)$

4. anonymous

Now remember that the given perimeter was 56m so setting P = 56 m, you get: $56 = 2l+6l$

5. anonymous

now solve for l which is $56 = 8l \rightarrow l=56/8\rightarrow 7$

6. anonymous

you know that 3 times the length is the width, therefore, knowing the length, 3 times 7 is 21 and 21 is the width of the rectangle.