Answer :
Answer: Area of rectangle is 50 square units.
Step-by-step explanation:
Since we have given that
Diagonal of the rectangle = 5√5
Let the width of rectangle be 'x'
Let the length of rectangle be '2x'
As we know the formula for diagonal of rectangle:
[tex]5\sqrt{5}=\sqrt{l^2+w^2}\\\\(5\sqrt{5}})^2=(2x)^2+x^2\\\\125=4x^2+x62\\\\125=5x^2\\\\\dfrac{125}{5}=x^2\\\\25=x^2\\\\x=\sqrt{25}\\\\x=5\ units[/tex]
So, Length of rectangle be 2x=2×5=10 units
And the area of the rectangle is given by
[tex]Area=Length\times width\\\\Area=10\times 5\\\\Area=50\ sq.\ unit[/tex]
Hence, area of rectangle is 50 square units.