Question

A swimming pool in an apartment complex has the following shape. Suppose a =15 feet, b = 12 feet, and > = 22 feet. If the apartment managers want to create acanvas cover for the pool, how many square feet of canvas will they need?

Answer 1

The amount of canvas needed is 420 square feet.

To solve this, lets calculate the area of the square that forms a and c; then calculate the area that forms a and b.

Since a and c forms a rectangle, the area of the rectangle is side times side. Then:

`a\cdot b=15ft\cdot22ft=330ft^2`

The area of a triangle is:

`A_t=(h\cdot b)/(2)`

Where h is the height of the triangle (a in this case) and b the base of the triangle (also b, in this case). Then:

`(a\cdot b)/(2)=(15ft\cdot12ft)/(2)=90ft^2`

Now just add the two areas:

`330ft^2+90ft^2=420ft^2`