Question

find the dimension.,Plzzzz solve the problem​

Answer 1

$\rule{200}4$

${ \frak { \underline \pink {\qquad Given\: : \qquad }}} \:$

A hexagon park maded with joining square and trapezium.

Side of square is 16 cm , parallel sides of trapezium are 8 cm and 16 cm and height of trapezium is 7 cm.

${ \frak { \underline \pink {\qquad To\:Find\: : \qquad }}} \:$

Area of the park.

${ \frak { \underline \pink {\qquad Solution\: : \qquad }}} \:$

${\red\bigstar\:\underline{\boxed {\bold \green {Area_{(Square)}\:=\:(Side)^2}}}}$

${\red\bigstar\:\underline{\boxed {\bold \green {Area_{(Trapezium)}\:=\:\dfrac{1}{2}\:\times\:(Sum\:of\:parallel\:sides)\:\times\:height(h)}}}}$

${\pink\dag\large\tt\underline{\purple{Area\: of \:park \:= \:Area \:of \:square\: +\: Area \:of \:trapezium}}}\pink\dag$

$\dag\:\underline{\frak{Putting\:all\:values\:-}}$

$\longmapsto\:\sf{[(16)^2]\:+\:\bigg(\dfrac{1}{2}\:\times\:(8\:+\:16)\:\times\:7}\bigg)$

$\longmapsto\:\sf{(16\:\times\:16)\:+\:\bigg(\dfrac{1}{2}\:\times\:24\:\times\:7}\bigg)$

$\longmapsto\:\sf{(256)\:+\:\bigg(\dfrac{24}{2}\:\times\:7}\bigg)$

$\longmapsto\:\sf{(256)\:+\:\bigg(\dfrac{24\:\times\:7}{2}}\bigg)$

$\longmapsto\:\sf{(256)\:+\:\bigg(\dfrac{168}{2}}\bigg)$

$\longmapsto\:\sf{(256)\:+\:\bigg(\cancel{\dfrac{168}{2}}}\bigg)$

$\longmapsto\:\sf{(256)\:+\:(84)}$

$\longmapsto\:\sf{(256\:+\:84)}$

$\longmapsto\:\boxed{\boxed{\sf{340}}}\:\orange\bigstar$

$\underline{\boxed {\frak {\therefore \blue {Area_{(Hexagon\:Park)}\:\leadsto\:340\:cm^2}}}}\:\red\bigstar$

$\rule{200}4$

Answer 2

Answer:

$\longmapsto\:\sf{[(16)^2]\:+\:\bigg(\dfrac{1}{2}\:\times\:(8\:+\:16)\:\times\:7}\bigg)$

$\longmapsto\:\sf{(16\:\times\:16)\:+\:\bigg(\dfrac{1}{2}\:\times\:24\:\times\:7}\bigg)$

$\longmapsto\:\sf{(256)\:+\:\bigg(\dfrac{24}{2}\:\times\:7}\bigg)$

$\longmapsto\:\sf{(256)\:+\:\bigg(\dfrac{24\:\times\:7}{2}}\bigg)$

$\longmapsto\:\sf{(256)\:+\:\bigg(\dfrac{168}{2}}\bigg)$

$\longmapsto\:\sf{(256)\:+\:\bigg(\cancel{\dfrac{168}{2}}}\bigg)$

$\longmapsto\:\sf{(256)\:+\:(84)}$

$\longmapsto\:\sf{(256\:+\:84)}$

$\longmapsto\:\boxed{\boxed{\sf{340}}}\:\pink\bigstar$

hope this helps you