Answer:
7739.44 square yards
Step-by-step explanation:
Given:
Length of the square plot = 105 yards
Area of square plot = [tex]2x^2[/tex]
Length of rectangular plot is same as square plot.
Area of the rectangular plot = [tex]x^2-30x[/tex]
Now, we know that, area of square is equal to the square of its length.
Therefore, the area of square is given as:
[tex]Area\ of\ square=(length)^2\\\\2x^2=105^2\\\\2x^2=11025\\\\x^2=\frac{11025}{2}\\\\x=\sqrt{5512.5}=74.25\ yd[/tex]
Now, area of rectangular field = [tex]x^2-30x=(74.25)^2-30(74.25)=3285.56\ yd^2[/tex]
Now, area of leftover = Area of square plot - Area of rectangular field
∴ Area of leftover = 11025 - 3285.56 = 7739.44 square yards
