Question

In City Park, the playground takes up 3/8 of the area. The soccer field area is 1/3 of the playground area. The product 13×38 can be used to find the area of the soccer field. Which is the area of the soccer field?

Answer 1

The area of the city park will be equal to 3952 square units.

What is the area?

The Area is defined as the space occupied by the two-dimensional geometry in a plane.

We have the following information:-

In City Park, the playground takes up 3/8 of the area:-

$\rm PGA=\dfrac{3}{8}\times CP$

The soccer field area is 1/3 of the playground area.

$\rm SF=\dfrac{1}{3}\times PGA$

The product 13×38 can be used to find the area of the soccer field

SF= 13  x  38=494 square units

Noe the PGA will be:-

PGA =3 x SF

PGA= 3 x494=1482 square unit

Now the area of the city park will be calculated as:-

$\rm CP=\dfrac{8}{3}\times PGA\\\\\\CP=\dfrac{8}{3}\times 1482$

CP=3952 square unit

Hence the area of the city park will be equal to 3952 square units.

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