Solution.
S(largesquare)=81(ft2).
Let the area of small square is xft2. Then, the area of one rectangle is 2∗xft2.
The equation of total area is:
x+2∗x+2∗x+2∗x+2∗x=81;9∗x=81;x=9.
The area of one rectangle is:
S(onerectangle)=2∗x=2∗9=18(ft2).
Let the side of the square is a. The area of the square is:
S(square)=a2;a2=9;a=3(ft).
Area of the rectangle is 2-dimensional: it has a length and a width.
The length l and width w of one rectangle are:
l=2∗a=2∗3=6(ft);w=a=3(ft).
Answer: S(onerectangle)=18(ft2),l=6(ft),w=3(ft).
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