1.

A pavement of Width 2 metres is built around a square shaped garden. The area of the pavement alone is 116 square metres. Find one side of the garden.

Answer»

Side of garden = x

Area of the pavement Area of the pavement

Area of the pavement Side of garden

including pavement = x + 4 (1)

Area of the pavement = (x + 4)2 - x2 = 116

x2 + 8x + 16 – x2 = 116

8x + 16 = 116,

\(x=\frac{116-16}{8}=12.5\)m

Side of garden = 12.5m



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