Question 81410
Use the formula for the perimeter of a rectangle
P=2(Length+width)
P=230
Length=2w-5
Width=w
.
P=2(l+w) [plug-in the values]
230=2[(2w-5)+w] [solve for w]
230=2(3w-5)
230/2=2(3w-5)/2
115=3w-5
115+5=3w-5+5
120=3w
120/3=3w/3
40=w
.
So, if width =40, than the length is:
Length=2w-5=2(40)-5=80-5=75
.
Check by plugging all values back into the original formula and solve:
P=2(length + width)
230=2(75+40)
230=2(115)
230=230 [checks out]