Question

rectangular shaped swimming pool with dimensions 40 m × 30 m has 5 m wide cemented path along its length and 8 m wide path along its width. Find cost of cementing the path at the rate of Rs. 300 per square meter.

Answer 1

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let's make a note of 'what - we - understand - in - the - question' like that first to tackle the question Provided a rectangular shaped swimming pool with dimensions 40 m × 30 m and what more we can see is the cemented region surrounding the pool (also rectangular in shape) with dimensions 5 m as its breadth (or width_ whatever !!) and 8 m as its length. What's more important is that we have to find the cost of cementing the path at the rate of like, ₹ 300 for each and every square meter.

Making it more simpler for you, here we'll first find out the so - called 'Area of the cemented region' then afterwards, will find the cost by general Unitary Method.

Let's make it more easier for you see;

Area of pool + Area of cemented region = Area of Compound (let's give it a name :p)

Length [Compound] = (40 + 8 + 8) = 56 m

Width [Compound] = (30 + 5 + 5) = 40 m

Area (Compound) = Length × Breadth

Area of Compound = 56*40 = 2240 m²

Area of Pool = 40*30 = 1200 m²

Area [Cemented Reg]= (2240 - 1200) m²

Area [Cemented Reg] = 1040 m²

____________________________

Now, we know that 1 m² = ₹ 300

Thus, 1040 m² = 1040 × 300 = ₹ 312000

Answer : ₹ 3,12,000

Answer 2

Step-by-step explanation:

Area covered by swimming pool = 30 m × 20 m= 600 m2. Length of outer rectangle = (30 + 8 + 8) m = 46 m and its breadth = (20 + 5 + 5) m = 30 m So, the area of outer rectangle = 46 m × 30 m = 1380 m2. Area of cemented path = Area of outer rectangle – Area of swimming pool = (1380 – 600) m2 = 780 m2. Cost of cementing 1 m2 path =  200 So, total cost of cementing the path =  780 × 200 =  156000Read more on Sarthaks.com - https://www.sarthaks.com/840506/rectangular-shaped-swimming-with-dimensions-wide-cemented-path-along-length-path-along