Question

what is the perimeter of the figure shown if the slanted side is 10.6 units long? the perimeter is □ units. (type an integer or a decimal.)

Explanation:

Step1: Identify the sides

Assume the figure is a trapezoid. From the grid, let's say the vertical side (height) is 8 units, the top base is, for example, 10 units, the bottom base is 18 units, and the slanted side is 10.6 units.

Step2: Calculate perimeter

Perimeter of a trapezoid is the sum of all sides: \( P = \text{top base} + \text{bottom base} + \text{left side} + \text{slanted side} \). Here, left side is 8, top base 10, bottom base 18, slanted side 10.6. So \( P = 10 + 18 + 8 + 10.6 \).

Step3: Sum the values

\( 10 + 18 = 28 \), \( 28 + 8 = 36 \), \( 36 + 10.6 = 46.6 \).

Answer:

46.6