Question

A rectangular swimming pool is 15 m long and 7 m wide. A path 1 m wide is constructed outside the swimming pool. Find the area of the path and the cost of constructing it at the rate of 50 per m.

Answer 1

Given: Rectangle

L2 = 15 m

W2 = 8 m

x = y = a = b = 1 m

Check that all units are uniform, convert to common unit of measurement

A1 = Area of Exterior Rectangle

A2= Area of Interior Rectangle

alif = area of the shaded region

Seek alif

A1 = A2 + alif

alif = A1 - A2 ==>

=L1*W1 - L2*W2

=[(a + L2 + b) *(x + W2 +y)] -L2W2

=[(1 +15 + 1) (1+ 8 +1)]-[(15)*(8)]

=170 - 120

alif = 50 m^2

Answer 2

Answer:

the area of the path is 48m² and the cost of constructing it at the rate of rs.50 is 2400