SOLUTION: The perimeter and area of a rectangle if one side is 3 ft shorter than three times the other side. please express in terms of algebraic symbols...

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Question 666691: The perimeter and area of a rectangle if one side is 3 ft shorter than three times the other side.
please express in terms of algebraic symbols...
Answer by MathLover1(20850) About Me  (Show Source):
You can put this solution on YOUR website!
if one side (let it be a) is 3ft shorter than three times the other side (let it be b), then
a-3ft=3b..........1
The perimeter and area of a rectangle:

the perimeter is P=2a%2B2b

and the area is A=a%2Ab

a-3ft=3b..........1..solve for a

a=3b%2B3ft.....plug it in P=2a%2B2b

P=2%283b%2B3ft%29%2B2b

P=6b%2B6ft%2B2b

P=8b%2B6ft.....P is expressed in terms of side b


A=%283b%2B3ft%29b
A=3b%5E2%2Bb%2A3ft
A=3%28b%5E2%2Bb%2Aft%29...A is expressed in terms of side b