Question

The window is comprised of a rectangle and half of an oval (A = abrt). If the total area is 66.84956 sq. ft. and the perimeter is 30.0095 ft, what are the values of x and y?

a) x = 4, y = 7
b) x = 6, y = 5
c) x = 3, y = 8
d) x = 5, y = 6

Answer 1

The values of x and y cannot be determined with the given information.

Step-by-step explanation:

In this problem, we are given that the window is comprised of a rectangle and half of an oval, and we are given the total area and perimeter of the window. Let's solve for the values of x and y.

Let the length of the rectangle be x and the width be y. The area of the rectangle is given by A = xy. The area of half of an oval is given by A = abrt, where a and b are the semi-major and semi-minor axes, and r is the ratio of the major axis to the minor axis. Given that the total area is 66.84956 sq. ft., we can set up the equation:

xy + 0.5(abrt) = 66.84956

The perimeter of the window is given by P = 2(x + y + a + b + r), so we can also set up the equation:

2(x + y + a + b + r) = 30.0095

Now we have a system of two equations with two variables (x and y). We can solve this system to find the values of x and y.

Unfortunately, the given answer choices do not provide values that satisfy both equations. Therefore, none of the given answer choices are correct.