Question

What is the area of the rectangle? (See attachment)

Answer 1

You need the Pythagorean theorem to solve for the side lengths.

Shorter side:
sqrt(6^2+1^2)=sqrt(37)
Longer side:
sqrt(12^2+2^2)=sqrt(148)

Now multiply the sides together to get:
sqrt(37*148)=sqrt(5476)=74