If a rectangle has sides (x+3) and (2x-1) and an area of 15, find x and the length of each side.

To find x, we need to create an expression from the information given. We know the area is 15 and that the area is equal to the length multiplied by the width. This gives us:(x+3)(2x-1) = 15Then we can expand the brackets and rearrange the equation to give us a quadratic equation, which we can then solve for x.Only one value of x is appropriate (x=2) to substitute into the expressions (x+3) and (2x-1) as it is the only value that will give us a positive value for the length and width of the rectangle. This gives us the values 5 and 3 for the sides of the rectangle.