In a given rectangle, the shorter side is 3 units less than the longer side. if we let the longer side be represented by the variable x, create an expression that represents the perimeter of the rectangle. (p=2l+2w)

P = 4x - 6

Step-by-step explanation:

In a given rectangle, the shorter side is 3 less than the longer side.

Let the longer side is the length of the rectangle L and the shorter side of the rectangle is the width of the rectangle W.

Then from the condition given we can write that L = W + 3 (1)

Now, perimeter of the rectangle is given by P = 2(L + W)

So, from equation (1) we can write P = 2(L + L - 3) {Since W = L - 3}

⇒ P = 2(2L - 3) = 4L - 6.

Now, if we represent L as the variable x, then the expression for perimeter P = 4x - 6 (Answer)

f(x) = - 2/3x + 5; f(5/2)

substitute 5/2 in for x:

f(5/2) = -2/3(5/2) + 5

simplify the right side:

f(5/2) = -5/3 + 5

f(5/2) = 10/3

answer:

f(5/2) = 10/3

i hope this you!

idc

step-by-step explanation:

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