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.
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