Question 99687
Ok first thing:
the perimeter of a rectangle is equal to the sum of all its sides.
this can be expressed as 2 times the length plus 2 times the width.
lets called the width x
Given: the length of a room is two and half times its width.
so the length equals {{{(2&1/2)x}}}
Given: perimeter equals 70 meters
Now we have everything we need to write a formula to solve for x (width)
{{{2(length)+2(width)=70}}}
{{{2((2&1/2)x)+2(x)=70}}}
{{{5x+2x=70}}}
{{{7x=70}}}
{{{x=10}}}
So the width = 10 meters
To find length use
{{{2&1/2(x)=length}}}
{{{2&1/2(10)=length}}}
{{{25=length}}}
So the length = 25 meters
To check use the original formula
{{{2(length)+2(width)=70}}}
{{{2(25)+2(10)=70}}}
{{{50+20=70}}}
{{{70=70}}}
that is it