Questions: Determine the perimeter and area of the shape shown below. Perimeter: square feet Area: square feet Round your answer to the nearest hundredth as needed.

Solution Steps

The perimeter is the sum of all the side lengths. The shape is a trapezoid, so we add the lengths of all four sides: $2 + 2 + 8 + 6.3 = 18.3$ ft

The area of a trapezoid is given by $A = \frac{1}{2}(b_1 + b_2)h$, where $b_1$ and $b_2$ are the lengths of the parallel sides (bases) and $h$ is the height. In this case, $b_1 = 2$, $b_2 = 8$ and $h=2$. Therefore, $A = \frac{1}{2}(2+8)(2) = \frac{1}{2}(10)(2) = 10$ square feet.

Final Answer: