Respuesta :

Given in the question:

a.) The perimeter of the shape is 34 units.

b.) The width of the shape is 8 units.

To be able to determine the measure of the missing side, let's first recall what is the formula in getting the perimeter of the shape which is a rectangle.

[tex]\text{ Perimeter = 2W + 2L}[/tex]

Let's use the formula in getting the measure of the missing side since we know that the total perimeter is 34 units and its width is 8 units.

[tex]\text{ Perimeter = 2W + 2L}[/tex][tex]\text{ 34 = 2(8) + 2L}[/tex][tex]\text{ 34 = 16 + 2L}[/tex][tex]\text{ 2L = 34 - 16 = 18}[/tex][tex]\text{ }\frac{\text{2L}}{2}\text{ = }\frac{\text{18}}{2}[/tex][tex]\text{ L = 9}[/tex]

Therefore, the measure of the missing side L is 9 units.

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