Question

what is the perimeter of the figure shown if the slanted sides are each 5 units long? the perimeter is □ units. (type an integer or a decimal.)

Explanation:

Step1: Identify the lengths of the two parallel sides (bases) of the trapezoid.

Looking at the grid, the top base (shorter one) spans 4 units, and the bottom base (longer one) spans 6 units.

Step2: Identify the lengths of the two slanted sides.

Given that each slanted side is 5 units long.

Step3: Calculate the perimeter of the trapezoid.

The perimeter \( P \) of a trapezoid is the sum of all its sides. So, \( P = \text{top base} + \text{bottom base} + \text{slanted side}_1 + \text{slanted side}_2 \).
Substituting the values: \( P = 4 + 6 + 5 + 5 \).
First, add the bases: \( 4 + 6 = 10 \).
Then, add the slanted sides: \( 5 + 5 = 10 \).
Finally, add the two results: \( 10 + 10 = 20 \).

Answer:

20