Question

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

Answer 1

She should be able to plant about 4 rows

Answer 2

Answer with explanation:

Perimeter of watermelon field $=71\frac{1}{3}$ yard

1 yard =3 feet

So, perimeter

  $=71 \frac{1}{3}*3=\frac{214}{3}*3=214$feet

Width of Watermelon field = 44 feet

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

Number of watermelon planted in a single row =x

Let , Length of Watermelon field

         $=\frac{8(x-1){\text{feet}}}{3}$

Perimeter of field = 2 *[Length +Breadth]

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

Number of watermelon in a row =24(approx)

Length of watermelon field

 $=\frac{8}{3}*\frac{197}{8}=65\frac{2}{3}$ feet

Let number of rows of watermelon  = y

$\frac{197y}{8}=44\\\\ y=\frac{352}{197}=1.7860$

 = 2 Rows(approximately)