Question

08. The dimensions of a hall are 100m, 50m and 72m. How many students can sit in the hall if each
student requires 200 m2 of area?

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Answer 1

Question :-

• The Dimensions of a hall are 100m , 50m and 72m . How many students can sit in the hall if each student requires 200$\sf\ m^{2}$ of area.

Answer :-

• 25 students

Explanation :-

Given -

1. Length of hall = 100m
2. Breadth of hall = 50m
3. Height of hall = 72m

Area acquired by every student = 200$\ m^{2}$

${}$

$\small\sf{No. of Student =\dfrac{Area\:of\:Hall}{Area\: acquired\:by\:each\: student}}$

${}$

Area of Hall = 100 $\times$ 50 = 5000$\sf{\ m^{2}}$

${}$

• No. of Student = $\sf{\dfrac{5000}{200}}$

${}$

• No. of Student = $\sf{\dfrac{\cancel{5000}}{\cancel{200}}}$

${}$

• No. of Student = 25

${}$

So , No. of Students can sit in room are 25

Answer 2

$\sf{\huge{\bold{\orange{\bigstar{\boxed{\boxed{Question}}}}}}}$

• . The dimensions of a hall are 100m, 50m and 72m. How many students can sit in the hall if each student requires 200 m2 of area?

$\sf{\huge{\bold{\orange{\bigstar{\boxed{\boxed{Solution}}}}}}}$

$\sf{\bold{\blue{\underline{\underline{Given}}}}}$

• dimensions of rhe room = 100m , 50 m , 72 m
• area required by one student = 200m^2

$\sf{\bold{\green{\underline{\underline{To\:find}}}}}$

• No. of students that can sit in the room

$\sf{\bold{\red{\underline{\underline{Explanation}}}}}$

$\sf{\bold{\pink{\boxed{\boxed{ area = length \times breadth }}}}}$

$\sf\implies area \: of\: room = 100 \times 50$

$\sf\implies area\: of \: room = 5000m^2$

$\implies$no. of students can sit in 200m^2 = 1

$\implies$no. of students can sit in 5000m^2 = $\sf\dfrac{\cancel {5000}}{\cancel {200}}$

$\implies$no. of students can sit in 5000m^2 = 25 students

$\sf{\bold{\pink{\boxed{\boxed{ \dag 25\:students }}}}}$

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