Angela and tina are at the beach. how long of a piece of rope do the girls need to totally enclose their space?

As seen from the figure , the space is of the shape of a rectangle.

To find the rope required to enclose the space needed , they will have to first determine the perimeter of the rectangular region.

The perimeter of rectangle is given by:

Where l is length and w is width of the rectangle.

We are given in the figure that length is 4 2/3 yards and width is 3 1/2 yards.

Let us first convert these mixed fraction to improper fractions first.

4 2/3 is (4*3+2)/3 that is 14/3

3 1/2 is (3*2+1)/2 that is 7/2

Now we plug these values in the formula for perimeter,

Now we find lcd of 3 and 2, which is 6

Adding,

Perimeter = 49/3 yards

The girls need rope measuring 49/3 yards or 16.33 yards  to completely enclose their space.

if x = 1, then the answer is 3.5