A rectangular swimming pool is to be built with an area of 1800 square feet. The owner wants 5- foot wide decks along the two sides and 10-foot wide decks at the two ends. Find the dimensions of the smallest piece of land on which the pool (including the decks) can be built satisfying these conditions.

 ,

Step-by-step explanation:

given data:

area of the pool = 1800 square feet.

length along the deck = 5- foot

length of side along the deck = 10-foot

Solution:

dimension of  the pool =

total area

since

insert eqn2 into eqn1

feet

to solve for y,

4sqrt5

step-by-step explanation:

the base has dimensions of 8 x 4, so the diagonal is 64 + 16 square rooted or 4sqrt5.

7

step-by-step explanation: