A square garden of side 40 m is having two cross roads 2m wide going from its middle.
Find the cost of laying grass at the rate of ₹7 per sq m in the garden excluding the road
Answers
The cost of laying grass at the rate of ₹7 per sq m in the garden excluding the road is Rs. 10108.
Step-by-step explanation:
The dimension of the square garden and the 2 cross-roads going from its middle:
Side, a = 40 m
Width = 2 m
Therefore,
Area of the square field = a² = 40² = 1600 m²
Area of the 2 crossroads running from the middle of the field = 2 * [40*2] = 160 m²
And,
Area of the common path i.e., the middle portion of the crossroads = 2 * 2 = ²
Since the area of the middle portion is common for both the roads, so we will subtract the area of the middle portion i.e., 4 m² once from the area of the 2 crossroads i.e., 160 m²
∴ The area of the crossroads will be = 160 – 4 = 156 m²
Now,
The area of the garden excluding the crossroads is given by,
= [Area of the square field] – [Area of the crossroad]
= 1600 – 156
= 1444 m²
The cost of laying the grass is given = Rs. 7 per sq. meter
Thus,
The cost of laying the grass in the square garden excluding the crossroads is,
= 1444 m² * Rs. 7
= Rs. 10108
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