Find the perimeter of the isosceles trapezoid below. $\newline$ A. $66$ units $\newline$ B. $42$ units $\newline$ C. $7 \sqrt{2}$ units $\newline$ D. $42+14 \sqrt{2}$ units $\newline$ E. $42+7 \sqrt{2}$ units

Full solution

Q. Find the perimeter of the isosceles trapezoid below.

\newline

66

units

\newline

42

units

\newline

7 \sqrt{2}

units

\newline

42+14 \sqrt{2}

units

\newline

42+7 \sqrt{2}

units

Identify Side Lengths: First, identify the lengths of all sides of the trapezoid. Assume the lengths of the parallel sides are $14$ units and $28$ units, and the non-parallel sides (legs) are equal, each being $7$ units.
Calculate Perimeter: Calculate the perimeter by adding the lengths of all sides: $14$ (shorter base) + $28$ (longer base) + $7$ (leg) + $7$ (other leg).
Perform Addition: Perform the addition: $14 + 28 + 7 + 7 = 56$ .