Question

a rectangle has a lenght of $5 \sqrt{16}$inches and a width of $2 \times \frac{1}{5}$inches. find the area of the rectangle

Answer 1

Consider the following diagram of the given problem:

and we know that the area of the rectangle is base times height, that is:

$A\text{ = b x h }=16^{\frac{1}{5\text{ }}}\times2^{\frac{1}{5\text{ }}}\text{ = }1.88$

but

$2^{\frac{3}{5}}\text{ = 1.51}$

so answer A is incorrect. On the other hand

$2^{\frac{4}{5}}\text{ = 1}.74$

so again, B is incorrect. On the other hand,

C is incorrect because 1.51 is a decimal number and not a natural or integer number.

So the correct answer is the last one.