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

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Solution

New side $= 30 - 1 - 1 = 28 m$
Area of the park excluding path = $(28^{2}) = 784 m^{2}$
Total cost $= R s . 1176$
Rate @ $m^{2}$ $= \frac{Total cost}{Area} = \frac{1176}{784} = R s . 1.5$

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

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Q. A path

1 m

wide is built inside a square park of side

30 m

along its sides. Find the area of the path. Calculate the cost of constructing the path at the rate of

R s .70 p e r m^{2}

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

New side =30−1−1=28 mArea of the park excluding path =(282)=784m2Total cost =Rs. 1176Rate @ m2 =Total costArea=1176784=Rs. 1.5

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

New side $= 30 - 1 - 1 = 28 m$
Area of the park excluding path = $(28^{2}) = 784 m^{2}$
Total cost $= R s . 1176$
Rate @ $m^{2}$ $= \frac{Total cost}{Area} = \frac{1176}{784} = R s . 1.5$