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A path2mwide surroundings a rectangular garden 20mlong and 12mwide. Find the area of the path.

Short Answer

Expert verified

The area of the path is 144m2.

Step by step solution

01

Step 1. Given information.

Length of the garden=20m

Width of the garden =12m

Width of the path=2m

02

Step 2. Concept  Used.

If b is the base of the reactangle and h is the height of the rectangle.

Then, the area of the rectangle isA=b×h

03

Step 3. Let’s calculate the area of the path.

InPQRSwhere,

Length=(20+2+2)=24m

Width=(12+2+2)=16m

Put the value of length and width into the formula and find the area.

Area of thePQRS:A1=24×16=384m2

Now,ABCD

Inwhere,

Length=20m

Width=12m

Put the value of length and width into the formula and find the area.

Area of theABCD:

A2=20×12=240m2

Now,

The area of the path = Area of the rectangle PQRS-Area of the rectangle ABCD

A=(384240)=144cm2

Therefore, the area of the path is144cm2.

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