The area of a parallelogram is:
a = bh
The base, b, of the parallelogram is 14.
The issue with this particular figure? We need the perpendicular height. We are given the side width, but that cannot be used in the final equation. So, we employ the Pythagorean Theorem.
We know that in the right triangle, a = 4, and c = 8.
a^2 + b^2 = c^2
4^2 + b^2 = 8^2
16 + b^2 = 64
16 - 16 + b^2 = 64 - 16
b^2 = 48
√b^2 = √48
b ≈ 6.93
So, b in this right triangle is equal to h in the parallelogram. So:
a ≈ 14(6.93)
a ≈ 97.02