Question

1 7. Find the area of square of side 6½ m.​

Answer 1

Answer:

42¼m²

Step-by-step explanation:

Side 6½ can also be written as

$6\frac{1}{2} \\ \frac{(2 \times 6) + 1}{2} \\ \frac{12 + 1}{2} \\ \frac{13}{2}$

Area of the square can be found by simply squaring its side.

$( { \frac{13}{2} )}^{2} \\ \frac{ {(13)}^{2} }{ {(2)}^{2} } \\ \frac{169}{4}$

We could leave the answer here as it is, but it is best practice to format the answer similar to the way the question was given (unless specifically told otherwise). So we convert the fraction into mixed fraction

$\frac{169}{4} = 42 \frac{1}{4}$

Hence the answer is 42¼m².