Question 55097
Hi Sher,
The length of a rectangle is 2 cm more than twice its width.  f the perimeter of the rectangle is 52 cm, find the dimensions of the rectangle.
Let width (W)=x
Then the length (L)=2x+2
The Perimeter (P)=52 cm
The formula for the perimeter of a rectangle is:
{{{highlight(P=2W+2L)}}}
52=2(x)+2(2x+2)
52=2x+2(2x)+2(2)
52=2x+4x+4
52=6x+4
52-4=6x+4-4
48=6x
{{{48/6=6x/6}}}
8=x
The width:x=8 cm
The Length: 2x+2=2(8)+2=16+2=18 cm
:
Check:
{{{highlight(P=2W+2L)}}}
52=2(8)+2(18)
52=16+36
52=52  Looks like we're right!!!
Happy Calculating, Sher!!!
funmath