Respuesta :
Answer:
The polynomial equation that represents area of rectangle is:
[tex]s^2-5s-6[/tex]
Step-by-step explanation:
It is given that a square has side of length 's'.
A rectangle is 6 inches shorter and 1 inch longer than the square.
Let the sides of the rectangle are represented by 'a' and 'b'.
That means that a= (s-6) inches.
and b=(s+1) inches.
Let A denote the area of rectangle with sides a and b.
Hence, the area of rectangle is given by:
[tex]A=a\times b[/tex]
[tex]A=(s-6)\times (s+1)\\\\A=s(s+1)-6(s+1)\\\\A=s^2+s-6s-6\\\\A=s^2-5s-6[/tex]
The unit of area is 'square inches'
Hence, the polynomial equation that represents the area of the rectangle is:
[tex]s^2-5s-6[/tex]
