Question

Which of the following values is the closest to $200$ square feet?

• A. ${14}^2$ square feet
• B. ${15}^2$ square feet
• C. ${16}^2$ square feet

Answer 1

The correct option is A ${14}^2$ square feet

$\bullet {14}^2=14\times 14=196\text{sq. ft}$
$\left(196\text{sq. ft is}\underset{–}{4}\text{away from}200\text{sq. ft}\right)$

$\bullet {15}^2=15\times 15=225\text{sq. ft}$
$\left(225\text{sq. ft is}\underset{–}{25}\text{away from}200\text{sq. ft}\right)$

$\bullet {16}^2=16\times 16=256\text{sq. ft}$
$\left(256\text{sq. ft is}\underset{–}{56}\text{away from}200\text{sq. ft}\right)$

Hence, $\underset{–}{{14}^2=196\text{sq. ft}}$ is closer to $200$ sq. ft than ${15}^2=225\text{sq. ft}$ and ${16}^2=256\text{sq. ft}$.