The length of the rectangle is represented l=2x+3, and the width is represented by the expression, w=x+2. Which expression can be used to represent the perimeter of the rectangle?

15/10 = 3/2 = x

Step-by-step explanation:

Perimeter is defined as the sum of the lengths of the sides of a polygon. A rectangle has four sides, and its perimeter is found by calculating 2L + 2W, where L= the length of a side of the rectangle and W = the width of a side of the rectangle. Since our rectangle has a perimeter of 35 units, we have the following equation:

35 = 2L + 2W

The problem tells us that the length = (2x + 3) and the width = (3x + 7). Substituting into the above equation gives us:

35 = 2(2x + 3) + 2(3x + 7)

The right-hand side of this equation can be simplified using the Distributive Property, which in general states that:

a(b + c) = ab + ac

Our problem becomes:

35 = 4x + 6 + 6x + 14

Combining like terms gives us

35 = 10x + 20

Now, we need to isolate the variable on one side of the equation and the constant terms on the other side. If we subtract 20 from both sides of the equation, we have:

35 - 20 = 10x + 20 - 20

15 = 10x

To solve for x, divide both sides of the equation by 10, which yields:

15/10 = 3/2 = x

x = 23.78

step-by-step explanation:

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