Answer :

The area of the rectangle is [tex]b^2[/tex] +9b square feet

The rectangle is the quadrilateral whose opposite sides are parallel and equal. The rectangle is a four sided shape that all the angles are 90 degrees

The area is defined as the total space occupied by the two dimensional shape like rectangle, triangle, circle etc..

The length of the rectangle = (5/3)b+15 feet

The width of the rectangle = (3/5)b feet

The area of the rectangle = The length of the rectangle × The width of the rectangle

Substitute the values in the equation

The area of the rectangle = [(5/3)b+15] ×(3/5)b

Apply the distributive property in the equation

[(5/3)b+15] ×(3/5)b = [tex]b^2[/tex] +9b square feet

Hence, the area of the rectangle is [tex]b^2[/tex] +9b square feet

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