Question

A rectangle is divided into certain numbers of qual parts. If 16 of the parts so formed represent the fractions 1/4. Find the numbers of the parts in which the rectangle has been divided.

Answer with full explanation.​

Answer 1

Answer:

$Let \: a \: rectangle \: be \: divided \: into \: x \: equal \: \: parts.$

$Now, 16 \: of \: the \: parts \: represent = \frac{1}{4}$

$Also, 16 \: parts \: of \: x = \frac{16}{x}$

$\frac{16}{x} = \frac{1}{4} \\ x = 64 \: parts$

$Hence \: the \: rectangle \: is \: divided \\ into \: 64 \: equal \: parts$

Answer 2

Answer:

Letarectanglebedividedintoxequalparts.

Now, 16 \: of \: the \: parts \: represent = \frac{1}{4} Now,16ofthepartsrepresent=

4

1

Also, 16 \: parts \: of \: x = \frac{16}{x} Also,16partsofx=

x

16

\begin{gathered} \frac{16}{x} = \frac{1}{4} \\ x = 64 \: parts\end{gathered}

x

16

=

4

1

x=64parts

\begin{gathered}Hence \: the \: rectangle \: is \: divided \\ into \: 64 \: equal \: parts\end{gathered}

Hencetherectangleisdivided

into64equalparts

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