contestada

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?

Respuesta :

calculista

Answer:

The size of the small play area is [tex]400\ ft^{2}[/tex]

Step-by-step explanation:

Let

x-----> the small play area

y-----> the large play area

we know that

[tex]x+y=2,000[/tex] ----> equation A

[tex]x=\frac{1}{4}y[/tex]

[tex]y=4x[/tex] ----> equation B

substitute equation B in equation A and solve for x

[tex]x+(4x)=2,000[/tex]

[tex]5x=2,000[/tex]

[tex]x=2,000/5[/tex]

[tex]x=400\ ft^{2}[/tex]

Otras preguntas