Question

A path $1m$ wide is built along the border and inside a square garden of side $30m.$ Find the cost of planting grass in the remaining portion of the garden at the rate of $₹40per{m}^2$ $.$

Answer 1

Side of the square garden $=$$30m.$

Area of the square garden $=30\times 30$

$=900m^2$

A path $1m$ wide is built along the border and inside a square garden

Now the new side of the square garden $=30-1-1$

$=28m$

The remaining portion for planting grass of the garden $=28\times 28$

$=784m^2$

The cost of planting grass in the remaining portion of the garden at the rate of $1m^2$ $=$$₹40$

The cost of planting grass in the remaining portion of the garden at the rate of $784m^2$ $=$$₹40\times 784$

$=$$₹31360$

Hence, the the cost of planting grass in the remaining portion of the garden is $₹31360$