Question

Find the area of the trapezoid. If the answer is not an​ integer, leave it in simplest radical form. The figure is not to scale.

Answer 1

Height

• √13²-5²
• √12²
• 12ft

Base=5+10=15

Area

• 1/2(Sum of parallel sides)Height
• 1/2(10+15)(12)
• 150ft²

Answer 2

• 150 ft²

Explanation:

Find the height of the trapezoid (dotted line segment) using Pythagorean:

• 
  `h=√(13^2-5^2) =√(169-25) =√(144) =12` ft

Find the longer base:

• 
  `b=10+5=15` ft

Find the area:

• 
  `A=\cfrac{1}{2} (10+15)*12=150`