Calculate the total area of this rectangle

[VitaminK]

Homework Statement

I was just wondering if someone could take a look at my solution. Not sure if it is correct. Im supposed to calculate the total area of the rectangle.

Relevant Equations

A= base* hight

 

[PeroK]

You can check that you are right by trying $x=6, y=9$ to see whether it all adds up!

 

[HallsofIvy]

The only error I can find is that you have misspelled "height"!

 

[symbolipoint]

Without looking at the responses which came after #1 posting,

You can identify three equations for a system:

x+y=15
15*2y=A
15*3x=A

A is for Area and x and y are as you assigned in your picture.
The system should indicate what steps can follow.