Answer:
1. [tex]2.56^{2}[/tex] cm
2. 318.198 ft^2.
Step-by-step explanation:
Hmm. Very stuck. We'll just take it slow. :)
For the first one, we'll just square the bottom of the parallelogram, because
it's a square. The answer is above.
The second is a bit more complicated. The formula for the area of a parallelogram is (base) x (height)= A(area), but that will be of no use until we know the height (the dashed line on the left).
So, do let's go about finding the height with a 45-45-90 triangle.
The way these work is that the two short sides are equal to x, and the longer one is [tex]x\sqrt{2}[/tex]. So, in essence, [tex]x\sqrt{2}=15[/tex].
15/[tex]\sqrt{2}[/tex]=10.61
Both of the other two sides (one being the height) are 10.61 ft long.
Multiply that by 30:
30 x 10.61= and you get 318.198 ft^2.
