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
c) Houses and spiritual
3. What is the area of each house?
4. If the cost of 1sqyd is ₹24600, what would be the cost of each house?
5. Find the total area of shopping and health center
6. If the area for health center and yoga hall is divided equally, then what is the
area of the yoga hall?
7. What portion of the total area is allotted for all the amenities?
Answers
Answer:
1 acre = 4840 sq. yards (given)
5 acres= 5 * 24200 sq. yards
5 acres = 24200 sq. yards
1.)
Houses
35/50 of total
= 35/50 * 24200
= 16,940 sq. yards
Fitness area
3/50 of total area
= 3/50 * 24200
= 1,452 sq. yards
Play area
2/25 of total area
= 2/25 * 24200
= 1,936 sq. yards
Entertainment area
3/50 of total area
= 3/50 * 24200
= 1,452 sq. yards
Shopping area
1/25 of total area
= 1/25 *24200
= 968 sq. yards
Health center and yoga hall
1/50 of total area
= 1/50 * 24200
= 484 sq. yards
Spiritual place
2/50 of total area
= 2/50 * 24200
= 968 sq. yards
2.)
a) 3,388 sq. yard
b) 1,936 sq. yard
c) 17,908 sq. yard
3.)
Area of each house= Total area of houses/ 70
= 16940/70
= 242 sq. yards
4.)
Cost/sqyd = Rs.24,600
Cost of each house= Cost/sqyd * 242
=24600 * 242
=Rs. 59,53,200
5.)
1452 sq. yards
6.)
484/2=242
= 242 sq. yards
7.)
Total area for amenities= Total Area - Area of Houses
24200-16940=7260
= 7260 sq. yards
This is surely correct.
Please mark it the Branliest......