Question 291640
The floor area of the original garage is equal to:


y = 30 * 20


The length is 30 feet.
The width is 20 feet.
The area is equal to the length times the width.


If you want to increase the width by x feet, then you have to increase the length by (3/2)x feet.


Your general equation will be:


y = (30 + (3/2)x) * (20 + x)


When x = 0, this reduces to y = 30 * 20 which is the original square feet of the garage.


Simplify this equation to get:


y = (30*20) + 30*x + 30*x + (3/2)*x*x which becomes:


y = 600 + 60x + (3/2)x^2.


For example:


If you wish to increase the width of the garage by 10 feet, this means that x = 10.


Your new area will be 600 + 600 + 150 = 1350 square feet.


When x = 10, (3/2)x = 15.


Since your original width was 20, your new width is 30.
Since your original length was 30, your new length is 45.


Your new area is 30 * 45 = 1350 square feet.


The equation is good.