Sushant has a triangular piece of land which he donated for the construction of a school for physically challenged children - Maths - Number Systems

Question

Sushant has a triangular piece of land which he donated for the
construction of a school for
physically challenged children The perimeter of the land is 450m
and its sides are in ratio
13 : 12 :5

a) Find the area of the land donated by sushant ?
​b) If the cost of levelling the land is Rs 20 per
m2 find the total cost?
c) If the cost of construction is Rs 100 per square feet then what
will be the cost of constructing a building of 5000sq feet ?

Rishabh Mittal · Accepted Answer

Let the side of triangles be 13x , 12x and 5x
Perimeter=450 m 13x+12x+5x=45030x=450x=15 m
so , sides area=13×15=195 m
b=12×15=180 m c=5×15=75 m
as=a+b+c2=4502=225Area of triangle=ss-as-bs-c                            =225225-195225-180225-75                            =2253045150                            =15×15×30×5×3×3×30×5                            =15×30×3×5=4750 m2
b cost of levelling the 1 m2 land = Rs
 20 
so cost of levelling the total land =20×4750=Rs
 95000c cost of construction = Rs 100 per square feetCost of constructing a building of 5000 sq
 feet =100×5000=Rs 500000