Question

A rectangular community park has an area of 1/10 square mile. One side of the park is 2/5 mile long. The park has four equal-sized sections where different plants grow.

Drag one expression next to each question. The correct expression for each row is a way to answer that question.


What is the width of the park?

How many square miles are in each section?

What is the length of each section?

Answer 1

What is the width of the park?

1/10 divide by 2/5

How many square miles are in each section?

1/10 divide by 4

What is the length of each section?

2/5 divide by 4

Explanation:

If you don’t get me there is a pic below ;)

Answer 2

The width of the park is
`(1)/(4)` mile.

The area of each section is
`(1)/(40)` square miles.

The length of each section is
`(1)/(5)` mile.

Explanation:

A rectangular community park has an area of
`A=(1)/(10)` square mile.

One side of the park is
`L=(2)/(5)` mile long.

Let W be the width of the park.

The area of the rectangle is given by,

`Area =L* W`

Substitute the value,

`(1)/(10)=(2)/(5)* W`

`W=(5)/(10* 2)`

`W=(1)/(4)`

The width of the park is
`(1)/(4)` mile.

The park has four equal-sized sections where different plants grow.

So, the rectangle divides into equal-sized sections means the half of length and width is the length and width of each section.

The length of each section is

`l=(L)/(2)=((2)/(5))/(2)=(1)/(5)`

The width of each section is

`w=(W)/(2)=((1)/(4))/(2)=(1)/(8)`

The square miles are in each section is given by,
`a=l* w`

`a=(1)/(5)* (1)/(8)`

`a=(1)/(40)`

The area of each section is
`(1)/(40)` square miles.

The length of each section is
`(1)/(5)` mile.