20² = (8 + 8)² + x²
x = 12
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the missing side has a value of 12, found using pythagorean theorem
check the picture below.
so it has a base of 18x18 and a height of that much.

No. The area of a square/rectangle is length * height, and 4 * 20 is 80m^2. Because Yoshi has a can of paint that can cover 81m^2, and 81m^2 > 80m^2, Yoshi does NOT need to buy more paint.
JK = MN because of Given
∠JLK = ∠MLN because of the vertical angle theorem
JL = LN because of definition of midpoint
ΔJLK = MLN because of SAS
∠K = ∠N because corresponding angles of congruent triangles are congruent.
Hope this helps!<span />
The answer to your question,
If rounded it would be 12.3, if not 12.5 with a repeated.
-Mabel