Question

The value of ${\left(12\frac{1}{2}\right)}^2$ is equal to

• A. $158\frac{1}{4}$
• B. $156\frac{1}{4}$
• C. $154\frac{1}{4}$
• D. $152\frac{1}{4}$

Answer 1

The correct option is B

$156\frac{1}{4}$

${\left(12\frac{1}{2}\right)}^2$ can be written as

$(12+\frac{1}{2})(12+\frac{1}{2})$

$=12\times 12+12\times \frac{1}{2}+\frac{1}{2}\times 12+\frac{1}{2}\times \frac{1}{2}$

$=144+6+6+\frac{1}{4}$

$=156\frac{1}{4}$