Explanation
Playhouse.

a) An isosceles trapezoid has congruent legs and congruent diagonals.
Draw a second height (altitude) from point C. This will form a rectangle in the middle, and you will be able to see that the base of the red triangle is 8 feet. Using the Pythagorean Theorem, DB = 10. So AC also equals 10 feet. 20 feet of lights are needed to cover the diagonals.
playhouseans

b) To find the distance around the outside of the roof, we need to find AD by using the Pythagorean Theorem in Δ on the left. 6² + 2² = (AD)²

AD rounds to 6.32. Perimeter = 6.32 + 6 + 6.32 + 10 = 28.64 = 28.6 additional feet will be needed.

All Rights Reserved - Copyright MathBitsNotebook.com