Question

A garden is $15m\times 10m$ It has a $2.5m$ wide flower bed all round outside it$.$ There is also a $2.5m$ wide grassy path all round and outside the flower bed$.$Find the area of the flower bed and grassy path respectively$.$

Answer 1

Dimension of garden $=$$15m\times 10m$

Width of flower bed $=$$2.5m$

Width of grassy path $=$$2.5m$

The area of the garden $=$$15\times 10$

$=150m^2$

Area of the garden including the flower bed$=\left(15+2.5+2.5\right)\times \left(10+2.5+2.5\right)$

$=20\times 15$

$=300$ $m^2$

Area of the flower bed $=300-150$

$=150m^2$

Area of the garden including the flower bed and grassy path$=\left(20+2.5+2.5\right)\left(15+2.5+2.5\right)$

$=25\times 20$

$=500m^2$

Now the area of the grassy path $=500-150$

$=350m^2$

Hence, the area of the flower bed and grassy path are $150m^2$ and $350m^2$ respectively.