Posted by Bella S on Sunday, September 11, 2011 at 7:20pm.
Vanessa presented a report on Japanese tea rooms to her class. The floors are usually covered with square and rectangular tatami mats. She drew one way to cover square floor with a square half tatami mat qnd four rectangular full mats. The area if the half mat is 8100cm (square) and is half the size of full mat.
A. The variable s presents the side length of square mat. Why can you use the equation s X s=8100 to to determine the aide length of th square mat?
B. How do yy know that the aide length of the square mat must be between 50 cm and 100 cm?

Math  Damon, Sunday, September 11, 2011 at 7:36pm
area = length * width
for the square mat s is the length and the width
so
Area of square mat = s*s = s^2 = 8100 cm^2
so s = sqrt(8100) = 90 cm
The area of each of the big rectangular mats is twice the square one , therefore 2*8100 = 16,200 cm^2 and it is 90cm by 180 cm
Lay a square room out with the square mat in upper left, one rectangle sticking out from it right
then three rectangles below those two sticking down
This gives you a square room, 3s * 3 s or 270cm * 270 cm = 72,900 cm^2
50^2 = 2,500 too small
100^2 = 10,000 too big
right answer is 90^2 = 8,100
Answer This Question
Related Questions
 MAth GCF LCM  25 square floor mats in a gymnasium are connected together to ...
 Math  A rectangular prism is 18 inches tall and has a square base whose length ...
 math  How many square feet of carpet will be needed to cover the kitchen and ...
 math  a square kitchen floor can be exactly covered withe square tiles that are...
 math  a 4 m by 3 m rectangular floor is covered by 300 square floor tiles. What...
 math  a square room has sides that each measure 5 feet.How many square feet of ...
 Algebra 1  A landscaper has two gardens: one is a square and the other is a ...
 calculus  A multistoried building has a floor area of 2,000 square feet on the ...
 Math  The floor of a round hut is 10m in diameter. A weaver charges $15.50 to ...
 maths  A floor is covered by 800 tiles measuring 10 cm square.How many square ...
More Related Questions