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Math - Geometry Lesson Plans : Perimeter & Area of Rectangles & Squares


Mensuration - Solve each exercise problem related to perimeter and area of rectangles and squares given below.

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1.

Find the area (in m2) of a swimming pool in the shape of a rectangle whose one side measures 15 m and the length of whose diagonal is 25 m.
 
Hint      

2.

The difference between the length and the breadth of a rectangle is 25 m. If its perimeter is 210 m, find its area (in m2).
 
Hint      

3.

The breadth of a lawn in the shape of a rectangle is ¼th its length. If the perimeter of the plot is 320 m, find its area (in m2).
 
Hint      

4.

The length of a rectangle is 20 m and its breadth is 15 m. If the length is increased to 30 m, what will be the breadth (in m) of the rectangle given that the area remains the same?
 
Hint      

5.

The area of a square field is 18 hectares. How much distance (in m) does a man have to cover to cross it diagonally?
Note that 1 hectare = 10000 m2.
 
Hint      

6.

The length of a rectangular hall is 10 m more than its breadth. The area of the hall is 875 m2. Find its length (in m).
 
Hint      

7.

A piece of land in the shape of a rectangle is 25 m long and 16 m wide. It is to be covered with grass leaving 0.5 m all around it. Find the area (in m2) that will not be covered with grass.
 
Hint      


 
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