Answer:
74-16 square root 10
Step-by-step explanation:
area = (length)^2
= (8- square root 10)^2
= 64- 16 square root 10 + 10
=74-16 square root 10
The area of the square is [tex]74-16\sqrt{10}[/tex] inches².
Area of square
Let x be the length of square
then area = x²
How to find the square area?
Given the side length of a square is [tex]8-\sqrt{10}[/tex] inches.
then the area of the square is [tex](8-\sqrt{10} )^{2}[/tex]
therefore,
[tex](8-\sqrt{10} )^{2}= 8^2+(\sqrt{10})^2-2(8)(\sqrt{10})[/tex]
[tex]=64+10-16\sqrt{10}[/tex]
[tex]=74-16\sqrt{10}[/tex]
Hence the area is [tex]74-16\sqrt{10}[/tex] inches².
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