A fireplace arch is to be constructed in the form of a semiellipse. The opening is to have a height of 2 feet at the center and a width of 8 feet
along the base. The contractor cuts a string of a certain length and nails
each end of the string at the foci of the base in order to sketch the outline
of the semiellipse.
4
a.) What is the total length of the string?
b.) How far from the center should the string be nailed into the base?