Question 1014234

A road 2m broad surrounds a square park 4225 m^2 in area. Find the cost of paving the marbles each of 25 cm by 8 cm in size on the road at Rs. 50 per piece of marble.
<pre>With area of park being 4,225 sq m, one side of square park = {{{sqrt(4225)}}}, or 65 m
Area of entire structure: {{{(65 + 2 * 2)^2}}}, or {{{(65 + 4)^2}}}, or {{{69^2}}}, or 4,761 sq m
Area of road: 4,761 – 4,225, or 536 sq m ------> 536(100 * 100), or 536(10,000) = 5,360,000 sq cm
Number of stones needed: {{{matrix(1,1,"5,360,000")/(25 * 8)}}}, or {{{matrix(1,1,"5,360,000")/200}}}, or 26,800
Cost to pave: 26,800 stones * rs. 50 = {{{highlight(highlight_green(highlight(matrix(1,2,"rs.", "1,340,000"))))}}}