Math

QuestionFind the perimeter of a rectangle with width (2x+3)(2x+3) and length (2x4)(2x-4). Choices: 4x124x-12, 4x14x-1, 8x28x-2, 4x22x124x^2-2x-12.

Studdy Solution

STEP 1

Assumptions1. The width of the rectangle is (x+3)(x +3). The length of the rectangle is (x4)(x -4)3. The perimeter of a rectangle is calculated as twice the sum of its length and width.

STEP 2

First, we need to write down the formula for the perimeter of a rectangle. The perimeter () of a rectangle is twice the sum of its length () and width (W).
=2(L+W) =2(L + W)

STEP 3

Now, plug in the given expressions for the length and width into the formula.
=2((2x)+(2x+3)) =2((2x -) + (2x +3))

STEP 4

implify the expression inside the parentheses by combining like terms.
=2(4x1) =2(4x -1)

STEP 5

Finally, distribute the2 across the terms inside the parentheses to find the perimeter of the rectangle.
=8x2 =8x -2The perimeter of the rectangle is 8x28x -2.

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