Question

find the values of xandy in the following rectangle​

Answer 1

The value of x and y in the following rectangle is 1 and 4

Solution :

Since we know that two lengths and breadths of the rectangle is equal. Hence ,

$x + 3y = 13.......(1) \\ 3x + y = 7........(2)$

Let's evaluate (1)

$x + 3y = 13 \\ x = 13 - 3y$

So now substitute the value of x in (2)

$3x + y = 7 \\ 3(13 - 3y) + y = 7 \\ 39 - 9y + y = 7 \\ 39 - 8y = 7 \\ - 8y = 7 - 39 \\ - 8y = - 32 \\ y = \frac{ - 32}{ - 8} \\ y = 4$

Now let's substitute the value of y in (1)

$x + 3y = 13 \\ x + 3(4) = 13 \\ x + 12 = 13 \\ x = 13 - 12 \\ x = 1$