Question

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)

Answer 1

P = 4x - 6

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)