Hello again, ejaykasai!

3. A certain city block is in the form of a parallelogram.

Two of it's sides measure 32 ft and 41 ft.

If the area of the block is 656 ft^2, what is the length if its longer diagonal? Code:

A *--------------------* D
/ /|
/ / |
32 / / |
/ 32/ | h
/ / |
/ / |
*--------------------*- - - *
B - - - - 41 - - - - C - - E

We have parallelogram

Let the height be:

Since

. . we have: .

Code:

A *--------------------* D
/ * /|
/ * / |
32 / * / |
/ * 32/ | 16
/ * / |
/ * / |
*--------------------*- - - *
B - - - - 41 - - - - C - - E

In right triangle

Hence: .

In right triangle

. .

Therefore: .