Question

A lawn is 80m long and 30m wide. Through the centre of the lawn paths 2m wide,run at right angles.find the area of remaining portion of lawn

Answer 1

Answer:

80×2+30×2-2×2=216

2400-216=2184

Is the right answer.

Step-by-step explanation:

Answer 2

Answer:

Area of remaining portion of the lawn will be   = 2184 $m^{2}$

Step-by-step explanation:

Let the Lawn be Rectangular in shape

Given :

Length of lawn = 80m

Breadth of Lawn = 30 m

Through the center of the lawn paths 2m wide, run at right angles

The Length of horizontal Path = 80m

The Breadth of horizontal Path = 2m

The Length of Vertical Path = 30 m

The Breadth of Vertical Path = 2 m

We know that ,

Area of Rectangle is Length * breadth

So, the area of lawn = Length of lawn * Breadth of lawn

                                   = 80*30 = 2400 $m^{2}$

Area of Horizontal Path = Length of path * breadth of path

                                       = 80*2m = 160$m^{2}$

Area of vertical Path = Length of path * breadth of path

                                   = 30* 2 = 60 $m^{2}$

Area of Overlapping path = 2*2 = 4$m^{2}$

So, the area of remaining portion of lawn =

( area of lawn) -{ (Area of Horizontal Path) + (Area of vertical Path) -(Area of Overlapping path)}

= 2400 -( 160 + 60 - 4)

=2400 - 216

= 2184 $m^{2}$

the area of remaining portion of lawn = 2184$m^{2}$

To learn more about Rectangle from the link below

https://brainly.com/question/25292087

To learn more about Area of Rectangle from the link below

https://brainly.com/question/25292087

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