Kasia plants her watermelons in rows. Her watermelon field has a perimeter of 71 1/3 yards and is 44 feet wide. The rows will be planted 2 2/3 yards apart. How many rows of watermelons can she plant

Respuesta :

She should be able to plant about 4 rows

Answer with explanation:

Perimeter of watermelon field [tex]=71\frac{1}{3}[/tex] yard

1 yard =3 feet

So, perimeter

  [tex]=71 \frac{1}{3}*3=\frac{214}{3}*3=214[/tex]feet

Width of Watermelon field = 44 feet

Kaisa , plants watermelon in the field in rows which are  [tex]=2\frac{2}{3}=\frac{8}{3}[/tex] feet apart.

Number of watermelon planted in a single row =x

Let , Length of Watermelon field

         [tex]=\frac{8(x-1){\text{feet}}}{3}[/tex]

Perimeter of field = 2 *[Length +Breadth]

[tex]214=2*[44+\frac{8(x-1)}{3}]\\\\\frac{214}{2}=44+\frac{8(x-1)}{3}\\\\107-44=\frac{8(x-1)}{3}\\\\63=\frac{8(x-1)}{3}\\\\x-1=\frac{3*63}{8}\\\\x=\frac{189}{8}+1\\\\x=\frac{197}{8}\\\\x=24\frac{5}{8}[/tex]

Number of watermelon in a row =24(approx)

Length of watermelon field

 [tex]=\frac{8}{3}*\frac{197}{8}=65\frac{2}{3}[/tex] feet

Let number of rows of watermelon  = y

[tex]\frac{197y}{8}=44\\\\ y=\frac{352}{197}=1.7860[/tex]

 = 2 Rows(approximately)