Is this a simultaneous equation question?

[paulb203]

Homework Statement

A rectangle has height h and base b
The area of the rectangle is 54cm^2
The perimeter of the rectangle is 33cm
h=54/b

Work out the height and base of the rectangle

Relevant Equations

A=hb
P=2h+2b

hb=54
2h+2b=33
h=54/b

therefore,

2(54/b)+b=33
108/b + b = 33

I’ve got a feeling I’ve gone down a blind alley here.
Any hints?

 

[PeroK]

One thing to make a mental note of (and nevr forget) is that an equation of the form:$$x + \frac a x + c = 0$$is a quadratic equation in disguise!

 

[Frabjous]

I’ve got a feeling I’ve gone down a blind alley here.
Any hints?

Multiply both sides by b.

 

[Hill]

2(54/b)+b=33

This equation is mistaken.