Question

8. Find the area of a square park whose perimeter is 320 m.​

Answer 1

Answer:

6400 m

Step-by-step explanation:

perimeter = 4×side

320 =4× side  

side =320/4

side = 80 m

area of square = side×side

=80×80

=6400 m

Answer 2

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\tt 8.\:\: Find\: the\: area \:of \:a \:square\: park\: whose\: perimeter\\\tt is \:320\: m.$

$\sf \bf \huge {\boxed {\mathbb {ANSWER}}}$

$\sf \bf {\boxed {\mathbb {GIVEN}}}$

• $\sf \bf Perimeter \:of \:the \:square \:park=320\:m$

$\sf \bf {\boxed {\mathbb {TO\:FIND}}}$

• $\sf \bf Area\:of \:the \:square \:park$

$\sf \bf {\boxed {\mathbb {SOLUTION}}}$

${\pink {\underline {\sf Side \:of \:the \:square \:field}}}$

${\blue {\boxed {\boxed {\boxed {\green {\sf \bf P=4a}}}}}}$

• $\sf P=perimeter \:of \:the \:square$
• $\sf a=side \:of \:the \:square$

${\underbrace {\overbrace {\orange {\bf Substitute \:the \:values}}}}$

$\sf \bf \implies 320=4a$

$\sf \bf \implies a=\dfrac{320}{4}$

$\implies{\boxed {\boxed {\purple {\sf \bf a=80\:m}}}}$

————————————————————————————

${\pink {\underline {\sf Area \:of \:the \:square \:field}}}$

${\blue {\boxed {\boxed {\boxed {\green {\sf \bf A={a}^{2}}}}}}}$

• $\sf A=area \:of \:the \:square$
• $\sf a=side \:of \:the \:square$

${\underbrace {\overbrace {\orange {\bf Substitute \:the \:values}}}}$

$\sf \bf \implies A={\Big(80\Big)}^{2}$

$\implies{\blue {\boxed {\boxed {\mathfrak {\purple {A=6400\:m}}}}}}$

${\underbrace {\red {\overline {\red{\underline {\red {\sf \therefore The\:area\:of \:the \:square \:park\:is\:6400\:m}}}}}}}$

$\sf \bf \huge {\boxed {\mathbb {HOPE \:IT \:HELPS \:YOU}}}$

__________________________________________

$\sf \bf \huge {\boxed {\mathbb {QUESTION}}}$

$\bf Area\:of \:square ={a}^{2}$

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

$\bf Diagonal \:of\:square =\sqrt{2}a$