1. ## working with squares.

I need help on these. Thanks very much.

1. Assume there are seven squares in a surface such that square 1, 3, 5, 7 are placed on the flat form while square 2, 4, and 6 are placed on an inclined position. If the area of square 2 is a, square 4 is b, and square 6 is c, what is the area of the sum of square 1 and 7?

2. Hello, mathisgood!

We need some clarification . . .

1. Assume there are seven squares in a surface such that:
squares 1, 3, 5, 7 are placed on the flat form .
What does this mean?
while squares 2, 4, and 6 are placed on an inclined position. .
... and this?

If the area of square 2 is $\displaystyle a$, square 4 is $\displaystyle b$, and square 6 is $\displaystyle c$,
what is the area of the sum of square 1 and 7?

2. Rhombus $\displaystyle MNOP$ is inscribed in rectangle $\displaystyle WXYZ$
such that $\displaystyle M, N, O, P$ lie on $\displaystyle WX, XY, YZ, ZW$, respectively.

If $\displaystyle MX\,=\,15,\;XN\,=\,20,\;MO\,=\,30,\;NP\,=\,40,$

and $\displaystyle \tfrac{a}{b}$ is a simplified fraction which represent the area of $\displaystyle ABCD$,
. .
Where are $\displaystyle {\color{blue}A,B,C,D}$ ?

find $\displaystyle a+b.$

If you meant the area of rhombus $\displaystyle MNOP$, then T.M.I. (too much information).

The area of a rhombus is the product of its diagonals: .$\displaystyle 30\cdot40\:=\:1200$

Therefore: .$\displaystyle \frac{a}{b} \:=\:\frac{1200}{1} \quad\Rightarrow\quad a + b \;=\;1201$

3. I have already edited it.