Question

A square paper sheet has
$10 \frac{2}{5}$
cm long side. Find its perimeter and area.​

Answer 1

Question:

$A \: square \: paper \: sheet \: has \: 10 \frac{2}{5}cm .$

$Find \: its \: perimeter \: and \: area.$

To find:

$\bigstar Perimeter \: of \: square \: paper$

$\bigstar Area \: of \: square \: paper$

Answer:

$\bigstar Perimeter \: of \: square \: paper \: is \: \underline{ \:\underline{ \: \bold{ 41.6cm} \: } \: }$

$\bigstar Area \: of \: square \: paper \: is \: \underline{ \:\underline{ \: \bold{108.16 {cm}^{2}} \: }\: }$

Given:

$\star Side \: of \: square(a) = 10 \frac{2}{5} cm$

Now, change mixed fraction to proper fraction

$a = \frac{52}{5}$

$\boxed{a = 10.4cm}$

Step-by-step explanation:

$\boxed{ Perimeter \: of \: square =4a}$

$\implies 4 \times 10.4$

$\implies \boxed{ Perimeter \: of \: square =41.6cm}$

$\bf{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

$\boxed{ Area \: of \: square = {(a)}^{2} }$

$\implies {(10.4)}^{2}$

$\implies \boxed{Area \: of \: square = 108.16 {cm}^{2} }$

$\bf{\underline{ \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: }}$

Formula used:

$\bigstar Perimeter \: of \: square =4a$

$\bigstar Area \: of \: square = {(a)}^{2}$

More to know:

• The diagonals of a square bisect each other at 90 degrees and are perpendicular.
• Opposite sides of a square are parallel.
• The internal angles of a square add to 360 degrees.