Question

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

Answer 1

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:

$Perimeter=2(l+w)$

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,

$Perimeter=2(l+w)$

$Perimeter=2(\frac{14}{3}+\frac{7}{2})$

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

$Perimeter=2(\frac{28}{6}+\frac{21}{6})$

Adding,

$Perimeter=2(\frac{49}{6})$

Perimeter = 49/3 yards

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