Swimming space. The length of a rectangular swimming pool is 2x -1 meters, and the width is x + 2 meters. Write a polynomial a(x) that represents the area. Find A (5).

Area = length * width

length = (2x-1)m
width = (x+2)m
Area = (2x-1)(x+2) m^2
Multiply the two factors (use FOIL).

Area=Length*Width

Length = (2x-1)m
Width = (x+2)m
So, Area = (2x-1)(x+2)m^2
Substitute the "x" with 5.
So, Area= (2(5)-1)(5+2)m^2
Solve for Area now
Area= (9)(7)m^2
Area= 63m^2

To find the polynomial that represents the area of the swimming pool, we need to multiply the length by the width.

The length is given as 2x - 1, and the width is given as x + 2.

So, the area, A(x), is given by:
A(x) = (2x - 1)(x + 2)

To simplify, let's multiply the terms:
A(x) = 2x^2 + 3x - 2

Now, to find A(5), we substitute x = 5 into the expression for A(x):
A(5) = 2(5)^2 + 3(5) - 2

Simplifying further:
A(5) = 2(25) + 15 - 2
A(5) = 50 + 15 - 2
A(5) = 63

Therefore, the area of the swimming pool when x = 5 is 63 square meters.