Question

The total cost of flooring a hall at ₹25.50 per sq m ₹2550. If the length of hall is 20 m, find the breadth of the hall.

Answer 1

Answer:

Breadth = 5m

Step-by-step explanation:

To find area:

$\implies$ $\sf{ Area = {\Large\frac{ Total\: cost }{ Cost\: per\: Sqm }}}$

$\implies$ $\sf{{\Large\frac{2550 }{25.50 }} }$

$\therefore$ $\sf{Area = 100\: m^2 }$

To find breadth:

• Area(A)= 100 m²
• Length (l)= 20 m
• breadth(b)= ?

$\implies$ $\sf{Area = length × breadth }$

$\implies$ $\sf{ 100 = 20 × b}$

$\implies$ $\sf{b = {\Large\frac{ 100 }{ 20 }} }$

$\implies$ $\sf{b = 5m }$

$\therefore$ $\boxed{\sf{ breadth = 5m }}$

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Answer 2

Answer:

• The breadth of the hall = 5 m

Step-by-step explanation:

Given that:

• The total cost of flooring a hall at ₹ 25.50 per m² ₹ 2550.
• The length of hall is 20 m.

To Find:

• The breadth of the hall.

Formula used:

• Area of a rectangle = (Length × Breadth)

First finding the area of hall:

⇒ Area of hall = Total cost / Rate

⇒ Area of hall = 2550/25.50 = 100 m²

Now finding the breadth:

⇒ Area of hall = (Length × Breadth)

⇒ 100 m² = 20 m × Breadth

⇒ 20 m × 5 m = 20 m × Breadth

• Both sides 20 m cancelled.

⇒ Breadth = 5 m