Question

The length and breath of a rectangular courtyard is 75 my and 32 m. Find the cost of levelling it at the rate of $3 per m2. Also, the distance covered by a boy to take a rounds of the courtyard

Answer 1

Answer:

I) $ 7200

ii) 214 m

Step-by-step explanation:

Gìvèn:

length = 75m

Breadth = 32m

Cost of leveling is at $3 per m².

To find :

1) The cost of leveling it at $3 per m² = ?

2) distance covered by a boy to take a rounds of the courtyard = ?

Procedure :

The cost of leveling it at $3 per m² = ?

Find the area.

Area of Rectangle = Length × Breadth

Area of rectangle = 75m × 32m

Area of rectangle = 2400m²

Given that cost of levelling is $ 3 m².

So,on applying direct proportion : -

If cost of 1m² = $3 then the cost of 2400m² will be x.

So,

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies \: x = \dfrac{ \ 3 \times 2400 {m}^{2} }{ {1m}^{2} }$

$\: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \: \sf \implies \: x = { \ }7200$

distance covered by a boy to take a rounds of the courtyard.

Perimeter of rectangular died = Distance covered by boy

Perimeter of rectangle = 2(l+b)

Perimeter of rectangle = 2(75+32)

Perimeter of rectangle = 2(107)

Perimeter of rectangle = 214 m