The equation showing the total area is 9[tex]x^{2}[/tex] and side of square is
3 feet ,length is 6 feet and breadth be 3 feet.
Given that the total area of Tatami mats is 81 [tex]feet^{2}[/tex].
We are required to find the equation showing the total area of Tatami mats.
let the side of square be x feet.
Area of 1 square=side*side
=x*x
=[tex]x^{2}[/tex] [tex]feet^{2}[/tex].
Length of rectangular mats be 2*x=2x
Breadth=x
Area of 4 rectangular mats=length *breadth
=x*2x
=2[tex]x^{2}[/tex] [tex]feet^{2}[/tex]
Total area is given 81 [tex]feet^{2}[/tex].
Total area of the Tatami mats=[tex]x^{2} +4* 2x^{2}[/tex]
=[tex]x^{2} +8x^{2}[/tex]
=9[tex]x^{2}[/tex]
9[tex]x^{2}[/tex]=81
[tex]x^{2}[/tex]=9
x=3 feet
length =2*3
=6 feet
Breadth=3 feet
Hence the equation showing the total area is 9[tex]x^{2}[/tex] and side of square is
3 feet ,length is 6 feet and breadth be 3 feet.
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