Question

The cost grassing a rectangular field at ₹3.50per sq.metre is ₹756.Find the perimetre of the field of its side are in the ratio 3:2.

Answer 1

cost grassing for per meter = ?₹3.50
TOTAL cost is = ₹756
use like This
1 sq m: ? :: ₹3.50:₹756
=756/3.50
=216 sq m
so area of rectangular field is 216 sqare meter

breadth: length=3:2
breadth=3×lenght/2

area=b×l
216= 3l×l/2
216×2= 3l²
432=3l²
432/3=l²
144=l²
√144=l
12=l
l =12m

b=3×l/2
b=3×12/2
b =18m

so perimeter of field
=2(l+b)
=2(12+18)
=2(30)
=60 m