Question

The length of rectangular swimming pool is triple its width. The pool covers an AREA of 192m2. If Penny swims diagonally across the pool and back how far did she travel?

Answer 1

Step-by-step explanation:

let its width = x

now length = 3x

area = (L)(B)

= (X)(3x)= 192

= 3x^=192

= x^ =192/3

= x^= 64

= x =√64

x = 8

so width is = 8m

and length is = (8)(3)

=24 m

let ABCD as a rectangular swimming pool adjoining it's diagonal

In ∆ADC, by Pythagoras theorem

H^ = B^+P^

H^ = (8^)+(24^)

= H^ = (64)+(576)

H^ = 660

H = √660

H = √(2)(2)(3)(5)(11)

H = 4√165m