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

Answer:

The size of the small play area is $400\ ft^{2}$

Step-by-step explanation:

Let

x-----> the small play area

y-----> the large play area

we know that

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

$x=\frac{1}{4}y$

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

substitute equation B in equation A and solve for x

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

$5x=2,000$

$x=2,000/5$

$x=400\ ft^{2}$