Question

Find the values of x and y in the following rectangle [see figure].

Answer 1

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 equation (ii) by 3 and then subtracting equation (i), we get

9x + 3y = 21
  x + 3y = 13
  –    –        –
 8x        =  8

So, x = 1

On substituting x = 1 in equation (i), we get

3y = 12

y = 4

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