Question

A garden is 15m * 10m it has a 2.5 m wide flower bed all round outside it there is is also 2.5 wide grassy path all round and outside the flower bed find the area of the flower bed and grassy path respectively

Answer 1

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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

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.

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Answer 2

Answer:

Let,

L=15m

B=10m

2.5 m flower bed all around

So, L=15+2.5=17.5

B=10+2.5=12.5

And, 2.5 m grassy path

So, L=20m

B=15m

The garden is of rectangular shape

So, area of the garden including flower bed and path =L*B

=20*15

=300 m²

Area of garden =15*10

=150 m²

So, area of grassy path and flower bed =area of garden including flower bed and path-Area of garden

=300 - 150 m²

=150m²

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