Area of Rectangle


Mensuration II - Concepts
Class - 6th CBSE Subjects
 
 
Concept Explanation
 

Area of Rectangle

The area of a rectangle is calculated in units by multiplying the width (or breadth) by the Length (or Height) of a rectangle.

The formula for the Area of a Rectangle = length x breadth

The area of any rectangle is calculated once its length and width are known.

Illustration:  Find the area of the rectangle whose length is 15 cm and the width is 4 cm?

Solution: Given, Length = 15 cm and Width = 4 cm

Area of a rectangle = Length × Width = 15 × 4  = 60 sq cm

So the area of rectangle = large 60cm^2

Illustration: Given that the area of recatngle is 75 sq cm. if one side is 5 cm find the other side.

Solution:  One side of the rectangle = 5cm   ,   Let the other side of the rectangle = y cm

Area of rectangle = Length X breadth   = 5 X y sq cm

According to the question:  Area of rectangle = 75 sq cm   

 OR   5 X y = 75 sq cm

 large y= frac{75}{5}= 15; cm

Hence the other side = 15 cm

Illustration: Find the area of rectangle whose dimensions are given below.

                Length = 12.5 cm , Breadth = 50 cm

Solution: Area of the rectangle = Length × Width

                                               = 12.5 X 50

                                               =frac{125}{10}times 50

                                                =625 cm^{2}

Hence,  Area of the rectangle is 625 cm^{2}.

Sample Questions
(More Questions for each concept available in Login)
Question : 1

What change in percent is made in the area of rectangle by decreasing its length and increasing its breadth by 5%?

Right Option : C
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Explanation
Question : 2

Find the area of a rectangular plot one of its side is 3 meters and its diagonal is 5 meters :

Right Option : C
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Explanation
Question : 3

Mohit is having a rectangular piece of metal sheet whose area is 175 sq cm and the width of sheet is 7 cm . what is the length of metal sheet ?

Right Option : A
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Explanation
 
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