Question

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

Answer 1

area of flower bed is length*breadth =15+2*2.5   *     10+2*2.5
                                  = (15+5) * (10+5)
                                   = 20*15 =300 sq.m (ans).


area of the grassy path= length*breadth= (20+2*2.5)* (15+2*2.5)
                                                                     =  25*20=500 sq.m (ans).

Answer 2

The area of the flower bed is 200 m².

The area of the grassy path is 250 m².

Given data :

Dimension of the garden = 15m × 20m

Width of the flower bed = 2.5 m

Width of the grassy path = 2.5 m

So,

The area of the garden = 15×20 = 300 m²

Dimensions of the garden including the flower bed = {15+(2.5×2)};{20+(2.5×2)} = (15+5);(20+5) = 20m ; 25m

Area of the garden including the flower bed = (25×20) = 500 m²

So,the volume of the flower bed = (500-300) = 200 m² (answer)

Dimensions of the garden including the flower bed and grassy path = {20+(2.5×2)} ; {25+(2.5×2)} = (20+5) ; (25+5) = 25m × 30m

So,the area of the garden including the flower bed and grassy path = (25×30) = 750 m²

So,the are of the grassy path = (750-500) = 250 m² (answer)