Question

Find the area of the figure below. Show all work for each step. Work should inc

radical. Take your time and be thorough. Include units in final answer.
(-5√2+5√5) ft
(3√2 + 4√5) ft

Answer 1

`5√(10) +70` ft

Explanation:

AREA = LENGTH x WIDTH

`(-5√(2)+5√(5))(3√(2) +4√(5) )`

`-15(2)-20√(10) +15√(10) +20(5)`

`-30-5√(10) +100`

`5√(10) +70`

Important things to keep in mind:

• 
  `√(2) (√(2) )=2(2)=4` Radical goes away (same #)
• 
  `√(2) (√(5))=√(10)`