Question

please help! will mark brainliest :)

A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square. which of the following polynomials represents the area of the rectangle? select all that apply

a) s^2
b) (s+6)(s+1)
c) (s-6)(s-1)
d) (s-6)(s+1)
e) s^2-7s+1
f) s^2-5s-6
g) s^2 +7s+6

please explain why, thank you

Answer 1

A square has sides of length s. A rectangle is 6 inches shorter and 1 inch longer than the square.
Thus the dimension of the rectangle will be as follows:
Length=(s+1) inches
Width=(s-6) inches
the area of the rectangle will be given by:
Area=length*width
A=(s-6)(s+1)=s²-5s-6

Answer: f) s^2-5s-6