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Krishanu

· started a discussion

· 1 Months ago

solution samja nahi (Question: 156585.0 )

need detail solution

Question:
A rectangular lawn 60 × 40m2 has two roads each 5 metre wide running between the park. One is parallel to length and other is parallel to width. Cost of gravelling is 60 paise/m2. Find the total cost of gravelling?

Options:
A) Rs. 285
B) Rs. 300
C) Rs. 275
D) Rs. 270
Solution:

Ans:(a) First Method:

Area of path = Area of path along length + Area of path along breadth – Area of square formed by the paths

= (60 × 5) + (40 × 5) – 52

= 300 + 200 – 25 = 475

\(\therefore\) Total cost = 475 ×\(\cfrac{60}{100}\) = Rs. 285

Second Method:

Area of path = x(l + b – x) 

= 5(60 + 40 – 5)

= 5 × 95 = 475 m2

∴ Total cost = 475 ×\(\cfrac{60}{100}\) = Rs. 285

Knowledge Expert

· commented

· 1 Months ago

Dear student
Solution is appropriate and
Given answer is correct.
We have subtracted
x (i.e. central square part)
from the area because it
was considered twice

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