Question

ABCD is a rectangle. AB=22cm and BC=16cm,AD=x-y,CD=x+y find the value of X and y​

Answer 1

Answer:

The answer will be:

x = 19;

y = 3;

Step-by-step explanation:

We have given;

AB = 22cm;

BC = 16cm;

AD = x-y;

CD = x+y;

Now, we know that opposite of rectangles are equal.

Hence, AB = CD;

22 = x+y; (i)

Similarly, BC = AD;

16 cm = x-y; (ii)

Add up the equation (i) and (ii);

(x+y) + (x-y) = 22 + 16;

x+y + x-y = 38;

2x = 38;

x = 19.

Using either of the equation and value of x, we can easily derive the value of y. Hence,

x-y = 16;

19-y = 16;

y = 3;

The value of x = 19 and y = 3.

That's all.