At an elementary school there are two fenced in areas on the playground. The small play area is 14

1
4
the area of the large play area. The total square footage of the two areas is 2000 ft2
ft
2
. What is the size of the small play area?
Responses
A 200 ft2
ft
2
200 ft 2
B 1600 ft2
ft
2
1600 ft 2
C 800 ft2
ft
2
800 ft 2
D 400 ft2

1 answer

The correct answer is C.

Let's use x to represent the size of the small play area.

We know that the large play area is 14 1/4 times the size of the small play area:

L = 14 1/4 x

And we know that the total area of both play areas is 2000 ft2:

x + 14 1/4 x = 2000

Simplifying this equation:

15 1/4 x = 2000

x = 800

Therefore, the small play area is 800 ft2.