Question

*How much will it cost to cover the ground 80 m long and 50 m wide with sand at the rate of ₹20 per sq. metre?*

1️⃣ ₹5200
2️⃣ ₹40000
3️⃣ ₹10400
4️⃣ ₹80000​

Answer 1

Answer:

$\red\bigstar$ Cost of covering the ground with sand = ₹80000.

SOLUTION

Length of the ground = 80m.

Breadth of the ground = 50m.

Here, the ground is in the shape of a rectangle.

$\setlength{\unitlength}{1cm}\begin{picture}(0,0)\thicklines\multiput(0,0)(5,0){2}{\line(0,1){3}}\multiput(0,0)(0,3){2}{\line(1,0){5}}\put(0.03,0.02){\framebox(0.25,0.25)}\put(0.03,2.75){\framebox(0.25,0.25)}\put(4.74,2.75){\framebox(0.25,0.25)}\put(4.74,0.02){\framebox(0.25,0.25)}\multiput(2.1,-0.7)(0,4.2){2}{\sf\large 80m}\multiput(-1.4,1.4)(6.8,0){2}{\sf\large 50m}\put(-0.5,-0.4){\bf }\put(-0.5,3.2){\bf }\put(5.3,-0.4){\bf }\put(5.3,3.2){\bf }\end{picture}$

$\boxed{\sf Cost \: of \:covering\: the \:ground \:with \:sand = Area \:of \:the \:ground * Rate \:of \:covering\: the\: sand}$

Area of a rectangle = l × b , Where l is the length and b is the breadth of the rectangle.

Here,

l = 80m.

b = 50m.

$\implies$ Area of the ground = 80 × 50

$\implies$ Area of the ground = 4000m².

Rate of covering the ground with sand = ₹20/m².

∴ Cost of covering the ground with sand = 4000 × 20

⇒ Cost of covering the ground with sand = ₹80000.

Answer 2

Given :-

• Length of Ground = 80m
• Breadth of Ground = 50m
• Rate of Filling the Ground = Rs 20

To Find :-

• Total Cost of Filling the Ground

Solution :-

❏ As we know that, Filling of sand will be done on the area. So we will find the Area of the Ground and then we will Multiple the rate of Filling with Total Area.

⟾ Area of Ground = Length × Breadth

⟾ Area of Ground = 80 × 50

⟾ Area of Ground = 4000m²

Now,

➟ Rate of Filling 1m² = Rs 20

➟ Rate of Filling 4000m² = 20 × 4000

➟ Rate of Filling 4000m² = Rs 80000

Thus Total Cost of Filling is Rs 80000

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