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(1)/(3)` yard

1 yard =3 feet

So, perimeter

`=71 (1)/(3)*3=(214)/(3)*3=214`feet

Width of Watermelon field = 44 feet

Kaisa , plants watermelon in the field in rows which are
`=2(2)/(3)=(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+(8(x-1))/(3)]\\\\(214)/(2)=44+(8(x-1))/(3)\\\\107-44=(8(x-1))/(3)\\\\63=(8(x-1))/(3)\\\\x-1=(3*63)/(8)\\\\x=(189)/(8)+1\\\\x=(197)/(8)\\\\x=24(5)/(8)`

Number of watermelon in a row =24(approx)

Length of watermelon field

`=(8)/(3)*(197)/(8)=65(2)/(3)` feet

Let number of rows of watermelon = y

`(197y)/(8)=44\\\\ y=(352)/(197)=1.7860`

= 2 Rows(approximately)