Question

City workers plan to build a picnic shelter in a park. They must first clear a square-shaped section of ground so the foundation can be poured. The area of the foundation will be 200 ft2.

Which expression represents the side length of the foundation, in feet?

Answer 1

A is the correct answer sqrt 200. The answer to the second part of the question is C. 10 sqrt 2

Answer 2

$Let \: square \:shaped\: side \: length \:of \\the \: foundation = a\:feet$

$Area \: of \: the \: foundation (A) = 200 \: ft^{2}$

$\implies a^{2} = 200 \: ft^{2}$

$\implies a = \sqrt{ 200 \: ft^{2}}$

$\implies a = \sqrt{ 2\times 10^{2}\: ft^{2}}$

$\implies a = 10\sqrt{2} \:ft$

Therefore.,

$\red{Side \: length \:of \:the \: foundation}\\\green { = 10\sqrt{2} \:ft }$

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