SOLUTION: Sarah is renovating her kitchen and has decided to use tiles on her countertop which is 83cm by 203cm. The tiles are octagonal and square in a pattern where four octagons around on

Question 1062172: Sarah is renovating her kitchen and has decided to use tiles on her countertop which is 83cm by 203cm. The tiles are octagonal and square in a pattern where four octagons around one square. The square tiles are 3cm along one side.
(a) Estimate the number of tiles they will need to cover the countertop.
(b) Each square tile costs $0.55 and each octagonal tile costs $0.78. Estimate the cost of the tiles to cover the countertop.
Answer by jorel1380(3719) (Show Source): You can put this solution on YOUR website!
The best representation I can make is 9 octagonal tiles to 4 square tiles, as seen here:

click here

The total area for this combination of tiles is: (9 x 2(1+√2)3�) + 4(3�)=79.45 cm�. The total area for the countertop is 83 x 203=16849 cm�.
16849 / 79.45=212
(a) The number of tiles needed:
212 x 9=1908 octagonal tiles
212 x 4=848 square tiles
(b) 1908 x .78=1488.24
848 x .55=466.4
1488.24+466.4=$1954.64 total cost to cover the countertop. ☺☺☺☺
RELATED QUESTIONS
I cant seem to get the right answer to this question, I have tried it numerous times.... (answered by KMST)

Been struggling with this one, Jack renovating his kitchen and has decided to use... (answered by rothauserc)

Gia decides to buy square tiles to cover her kitchen floor. The tiles are 18� square... (answered by josmiceli)

Please help with this problem. It has been over 20 years since I have had Algebra and... (answered by Fombitz)

mrs lopez wants to tile your kitchen floor. her room is 10 ft by 12 ft. how many 1 foot... (answered by mananth)

Ms. Rivera wishes to tile her classroom floor with square tiles. She wants to be able to (answered by KMST)

Jessica is decorating a section of one wall of her kitchen with ceramic tiles. The area... (answered by checkley77)

A kitchen is 10 ft long and 8 ft wide. If the kitchen floor tiles are 2 1/2 in by 2... (answered by edjones)

vanessa wants to cover her closet floor with tiles that are 1/3 foot on each side. The... (answered by ikleyn)