Geometry question form ax^2+bx+c

[Daaniyaal]

I was tutoring a student and I came across the following question. I feel like I'm missing something obvious, but it seems like there are too many variables for an answer to be determined. The attached picture contains all of the question details.

 

[Daaniyaal]

The correct answer is C by the way

 

[Mark44]

Let w = width of the upper right rectangle, and
let h = height of the lower left rectangle.

Then the areas of the four rectangles, going clockwise from the upper left are a², aw, ah, and 144.

What must the areas of the upper right and lower left rectangles add up to?
What's an expression that gives the perimeter?

I get C as the answer as well.

 

[Daaniyaal]

aw+ah=25a
w+h=25

how do i determine the individual values of w and h?

 

[Mark44]

aw+ah=25a
w+h=25

how do i determine the individual values of w and h?

You don't have to. You have w + h = 25. Now write an expression for the perimeter.

 

[Daaniyaal]

oh thanks! I got it :) I was missing the obvious >.<