Question

the side of a square Park is 30 meter. A part 1 metre wide is built along the border inside the square Park find the cost of planting the remaining portion of the park with grass at the rate of 4 rupees per square metre​

Answer 1

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One metre wide path is built inside a square park of sied 30 m along its sides. The remaining part of the park is covered by grass. If the total cost of covering by grass is Rs 1176, find the rate per square metre at which the park is covered by the grass.

$\large{\sf{\underline{\underline\pink{Solution:!!}}}}$

Side of square garden =30m

Side of square garden not including the path =28m

Area of square garden not including the path =(28) ² =784m²

Now,

Cost of covering the park with grass =784× Rate per square metre =Rs.1176 (Given)

∴ Rate per square metre

$= \frac{1176}{784} = Rs.1.5$

Hence the rate per square metre at which the park is covered by the grass is Rs.1.5.

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Answer 2

Step-by-step explanation:

• Side of the square Park = 30m
• Width of the border = 1m
• Therefore, Side of the inner square = 28m

To find the rate per square metre, we need to find the area first.

Therefore, Area of the inner square = (side)^2

= (28)^2

= 784 sq.m

If these area is to be planted with grass at the rate of 4rs. per square metre,

Total cost = 4rs. x 784 sq. m

= 4 x 784

= 3136 Rs.

Final answer:

Cost of planting the remaining part with grass = ₹3136