Question

The lenght and breadth of rectangle are in ratio of 13:7, If area of Rectangle is 2275cm^2. find it's lenght and breadth

Answer 1

Answer:

Given, ratio of length and breadth of the rectangle  13 : 7 .

          area of the rectangle = 2275 cm^2

Let,  

   length of the rectangle = 13 a

   breadth of the rectangle = 7 a

We know that the area of rectangle is length x breadth

Therefore, 13 a x 7 a = 2275 cm^2

= > 13 x 7 x a x a = 2275 cm^2

= > 91 a^2 = 2275 cm^2

= > a^2 = 2275 / 91 cm^2

= > a^2 =  ( 25cm )^2

= > a = 5 cm

Now,

Length of the rectangle = 13a

                                        = 13 x 5 cm

                                        = 65 cm

Breadth of the rectangle = 7a

                                          = 7 x 5 cm

                                          = 35 cm

Thus,

length of the rectangle is 65 cm and breadth of the rectangle is 35 cm

Answer 2

Answer:

let the ratios be x

13x * 7x = 2275cm 2

91x = 2275cm 2

x= 2275/91

x = 5

13x = 13 x 5cm2

65 cm2

7x = 7 x 5cm2

35cm 2

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