A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.)

2.81 inches

2.82 inches

2.83 inches

2.84 inches

Question

A square piece of cheese covers 8 square inches of a plate. What is the approximate length of one side of the piece of cheese? (Approximate to the nearest hundredth inch.)

 2.81 inches

 2.82 inches

 2.83 inches

 2.84 inches

bibby · Answer

The area of the square is 8 in^2

What is the formula for square area

anonymous · Answer

uhhhh

anonymous · Answer

i accutally don't remember

bibby · Answer

it's side * side or side^2

anonymous · Answer

oh

bibby · Answer

so what do we have?

|dw:1409856857661:dw|

anonymous · Answer

so the length of one side would be 2.82

bibby · Answer

how'd you get that?

anonymous · Answer

i was thinking that because accutally im not sure how

bibby · Answer

you can't just guess. You have the formula for area and algebra at your disposal...

A=8
a=x*x

anonymous · Answer

so like 4 x 4 =8, it has something to do like that right?

bibby · Answer

4+4=8
4x4=16
$\huge {x^{2}}=8$

$\huge \sqrt{x^\cancel{2}}=\sqrt 8$

bibby · Answer

for the kiddos googling this
$x=\sqrt8\x=2.828\implies2.83$