Remember that the area of a rectangle is length times width; since we don't know the width, we'll use the Pythagorean theorem to find it first:
[tex]l= \sqrt{h^{2}-c^{2} } [/tex]
Where l is the leg, and h the hypotenuse. We know that one of the legs, the base has a measures 34.3 inches and the hypotenuse a measures 42.1 inches.
Replace the values to get:
[tex]l= \sqrt{42.1^{2}-34.3^{2} } [/tex]
[tex]l=24.4=w[/tex]
Now that we know the width (w), we just net to multiply it by the length to get our area:
[tex]A=(24.4)(34.3)=836.9[/tex]
We can conclude that the correct answer is B) 836.9 in.
