A rectangular room is 6 meters longer than it is wide, and its perimeter is 32 meters. How do you find the dimension of the room?

2 Answers
Sep 5, 2015

Length is 11 m.; Width is 5 m.

Explanation:

Define:
color(white)("XX")L = " length"
color(white)("XX")W = " width"

Given
color(white)("XX")L=W+6
color(white)("XX")"(perimeter = " = 2(L+W) = 32

color(white)("XX")rarr 2((W+6)+W) = 32

color(white)("XX")rarr 2W+6 = 16

color(white)("XX")rarr W=5

and since L=W+6
color(white)("XX")rarr L=11

Sep 5, 2015

5m x 11m

Explanation:

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take the width of the room as x, then the length of the room becomes x+6 according to the data.

i can take these data and write an equation as follows which shows the perimeter of the room

32 = 2(x+6) + 2x
32 =4x+ 12
4x= 20
x= 5m this is the width of the room

the length of the room = 5+ 6 = 11m

so the dimensions of the room :
5m x 11m