Find the values of x and y in the following rectangle

Question

Philoid · Accepted Answer

By property of rectangle,

Lengths are equal, i.e., CD = AB

So, x + 3y = 13 …(i)

Breadth are equal, i.e., AD = BC

So, 3x + y = 7 …(ii)

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

3(3x + y) = 3(7)

- x + 3y = 13

8x = 8

So, x = 1

On putting x = 1 in Eq. (i), we get

y = 4

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