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Question -

Find the values of and in thefollowing rectangle [see Fig. 3.2].



Answer -

Solution:

Using property ofrectangle,

We know that,

Lengths are equal,

i.e., CD = AB

Hence, x + 3y = 13…(i)

Breadth are equal,

i.e., AD = BC

Hence, 3x + y = 7…(ii)

On multiplying Eq.(ii) by 3 and then subtracting Eq. (i),

We get,

8x = 8

So, x = 1

On substituting x = 1in Eq. (i),

We get,

y = 4

Therefore, therequired values of x and y are 1 and 4, respectively.


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