Question

The pool at the hotel where Gabrielle is staying is symmetrical and shaped like the letter “W” below.

The bottom surface of the pool is flat and needs new tile. if each tile covers 1/9 of a square yard and cost three dollars, what is the cost of the tile to tile the bottom of the pool?

$1,500
$4,500
$10,800
$13,500

Answer 1

13500

Explanation:

I just did it!

Answer 2

$13500

Explanation:

Given

Each tile cover one ninth of a square yard and each tile costs $3

First, area of the Swimming Pool(from the diagram)

=Area of Left rectangle(length=20,breadth=10)+ Area of Square in middle(side=10)+Area of right rectangle(length=20,breadth=10)

`(\text{area of rectangle}= length* breadth \\\text{ area of square}= side * side)`

`= 20* 10+ 10* 10+ 20 * 10\\= 200+100+200\\=500yards`

We have to calculate how many tiles make up 500 yards

As given each tile is one ninth of a yard

⇒Number of tiles that make up 500 yards, n

`=(500)/((1)/(9) ) =(500*9)/(1) =4500`

⇒ As each tile costs $3

Therefore total cost to tile the floor

`= \text{total number of tiles}* 3\\=n* 3\\=4500 * 3\\=13500`

Therefore total cost of tiles=$13500