Question

At an elementary school there are two fenced in areas on the playground. The small play area is 1 4 the area of the large play area. The total square footage of the two areas is 2000 ft2. What is the size of the small play area?

Answer 1

The size of the small play area is
`400\ ft^(2)`

Explanation:

Let

x-----> the small play area

y-----> the large play area

we know that

`x+y=2,000` ----> equation A

`x=(1)/(4)y`

`y=4x` ----> equation B

substitute equation B in equation A and solve for x

`x+(4x)=2,000`

`5x=2,000`

`x=2,000/5`

`x=400\ ft^(2)`