Find the values of x and y in the following rectangle

1.	Find the values of x and y in the following rectangle
Answer» Using property of rectangle, 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 = 1 in Eq. (i), We get, y = 4 Therefore, the required values of x and y are 1 and 4, respectively.

Answer»

Using property of rectangle,

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 = 1 in Eq. (i),

We get,

y = 4

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

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