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

(2(5)-1) (5+2)
(10-1)
(9* 7)
63

My answer is 63. Do you agree?

Looks all right to me.

Yes, your answer of 63 is correct. To find the area of a rectangular swimming pool, we multiply its length by its width. In this case, the length is represented by the expression 2x-1 meters and the width is represented by the expression x+2 meters.

So, the polynomial that represents the area is:

Area = (2x-1)(x+2)

To find the area when x is 5 meters, we substitute x=5 into the polynomial:

Area = (2(5)-1)(5+2)
= (10-1)(7)
= (9)(7)
= 63

Therefore, the area of the rectangular swimming pool is indeed 63 square meters. Well done!