Question

Ryan was planning a gated community in 5 acre of land with 70 houses in it. He has divided the total area into different parts so that he can accommodate all the amenities in the community.
They are as follows

Houses: 35/50 of total area
Fitness area: 3/50
Play area: 2/25
Entertainment area: 3/50
Hint: 1 acre = 4840 square yards
Shopping area: 1/25
Health center and yoga hall: 1/50
Spiritual place: 2/50

Answer the following questions by converting the area into sq.yards
1. Find the area used for each amenity 2. What portion of the total area is used for a) Play and entertainment b) Shopping and spiritual
2

Answer 1

$\fontsize{18}{10}{\textup{\textbf{The answers are below}}}$

Step-by-step explanation:

1.

Houses: 35/50 of total area=35/50 *5 *4840 sq.yards

=35*484=16940 sq. yards

Fitness area: 3/50 *5*4840 sq. yards =1452 sq. yards

Play area: 2/25 *5*4840=4*484 sq yards= 1936 sq yards

Entertainment area: 3/50  *5*4840 sq. yards =1452 sq. yards

Shopping area: 1/25 *5*4840 sq yards=2*484 sq yards= 968 sq yards

Health center and yoga hall: 1/50 *5*4840= 484 sq yards

Spiritual place: 2/50 *5*4840 sq yards=2*484 sq yards= 968 sq yards

2.

a) Play and entertainment=2/25+3/50 of total=14/100= 14% of total

b) Shopping and spiritual=1/25 + 2/50 of total= 8/100 = 8% of total