Respuesta :
Answer:
The distance around the rectangle is:
[tex]19\dfrac{11}{15}\ feet[/tex]
Step-by-step explanation:
The distance around the rectangle means the perimeter of the rectangle.
We know that for a rectangle width length l and width w the perimeter(P) is given by:
[tex]P=2(l+w)[/tex]
Here we have:
[tex]l=6\dfrac{2}{3}\ feet=\dfrac{20}{3}\ feet[/tex]
Also, the width is:
[tex]w=3\dfrac{1}{5}\ feet=\dfrac{16}{5}\ feet[/tex]
Hence, the perimeter of rectangle is:
[tex]P=2(\dfrac{20}{3}+\dfrac{16}{5})\\\\P=2(\dfrac{20\times 5+16\times 3}{15})\\\\P=2(\dfrac{100+48}{15})\\\\P=2\times \dfrac{148}{15}\\\\P=\dfrac{296}{15}\\\\P=19\dfrac{11}{15}\ feet[/tex]