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

Answer:

$5\sqrt{10} +70$ ft

Step-by-step explanation:

AREA = LENGTH x WIDTH

$(-5\sqrt{2}+5\sqrt{5})(3\sqrt{2} +4\sqrt{5} )$

$-15(2)-20\sqrt{10} +15\sqrt{10} +20(5)$

$-30-5\sqrt{10} +100$

$5\sqrt{10} +70$

Important things to keep in mind:

• $\sqrt{2} (\sqrt{2} )=2(2)=4$    Radical goes away (same #)
• $\sqrt{2} (\sqrt{5})=\sqrt{10}$