Question

"The figure shows the layout of a symmetrical pool in a water park. What is the area of this pool rounded to the tens place? Use the value = 3.14.

A) 1,180 square feet
B) 1,830 square feet
C) 2,120 square feet
D) 2,490 square feet
E) 2,630 square feet"

Answer 1

2,490

Explanation:

Answer 2

Area of pool = 2 x area of sector + 2 x area of triangle
Area of sector =
`( \theta)/(2 \pi ) * \pi r^2=( 2.21)/(2) * 30^2 =1.105 * 900=994.5 \ square \ feet`
Area of triangle = 1/2 bh = 1/2 x 20 x 25 = 250 square feet

Area of pool = 2(994.5) + 2(250) = 1,989 + 500 = 2,489 square feet = 2,490 square feet.