Question

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Answer 1

Answer:

x+y= 22.........(1)

x-y=16.............(2)

solve it get answer

Answer 2

Question :

In the figure given below, ABCD is

Given :

• DC = (x + y) units
• AB = 22 units
• CB = 16 units
• AD = (x - y) units

To find :

The value of x and y.

Solution :

We know the property of a Rectangle that :

"Opposite sides of a Rectangle are equal"

So by using this property , we can find the two Equations, with x and y and by solving them , we can find the required value.

Equation i :-

Since , the opposite sides of a Rectangle are equal , here we get the first Equation as :

➝ DC = AB

➝ x + y = 22 ...(i)

Equation ii :-

Since , the opposite sides of a Rectangle are equal , here we get the first Equation as :

➝ AD = CB

➝ x - y = 16 ...(ii)

Now by adding Equation (i) and Equation (ii) , we get :

$\underline{:\implies \bf{(x + y) + (x - y) = 22 + 16}}$

$:\implies \bf{x + y + x - y = 22 + 16}$

$:\implies \bf{x + \not{y} + x - \not{y} = 22 + 16}$

$:\implies \bf{x + x = 22 + 16}$

$:\implies \bf{x + x = 38}$

$:\implies \bf{2x = 38}$

$:\implies \bf{x = \dfrac{38}{2}}$

$:\implies \bf{x = 19}$

$\boxed{\therefore \bf{x = 19}}$

Hence the value of x is 19.

Now Substituting the value of x in Equation I , we get :

$:\implies \bf{x + y = 22}$

$:\implies \bf{19 + y = 22}$

$:\implies \bf{y = 22 - 19}$

$:\implies \bf{y = 22 - 19}$

$:\implies \bf{y = 3}$

$\boxed{\therefore \bf{y = 3}}$

Hence the value of y is 3.