Two pathways parallel to the length and breadth have been constructed in the Centre of a rectangular park. Whose length is 125 m. and breadth is 95 m. If width of each parthway is 10 metre. Find out:
(i) expenditure on putting soil on the pathway at the rate of ? 80 per square meter.
(ii) area of putting grass excluding the paths.
Answers
(i) Expenditure on putting soil on the pathway at the rate of 80 per square meter is Rs. 80,000.
(ii) Area of putting grass excluding the paths is 10875 m²
Step-by-step explanation:
Step 1:
The dimension of the rectangular park:
Length, l = 125 m
Breadth, b = 95 m
∴ Area of the rectangular park = l * b = 125 * 95 = 11875 m²
Step 2:
Two pathways of width 10 m run at the centre of the park and are parallel to the sides of the rectangular park.
Now,
Area of the path running parallel to the length of the park = l * w = 125 * 5 = 625 m²
Area of the path running parallel to the breadth of the park = b * w = 95 * 5 = 475 m²
Area of the common portion between the two cross road tracks = 10 * 10 = 100 m²
Therefore,
The area of the pathway is given by,
= [Area of the path running parallel to the length] + [Area of the path running parallel to the breadth] – [Area of the common portion]
= 625 + 475 – 100
= 1000 m²
Step 3:
The expenditure on putting soil on the pathway is given as Rs. 80 per square meter
Therefore,
The expenditure on putting soil on the pathway of 1000 m² ,
= 1000 m² * Rs. 80
= Rs. 80,000
∴ The area of putting grass excluding the paths is given by,
= [Area of the rectangular park] – [Area of the pathway]
= 11875 m² - 1000 m²
= 10875 m²
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