2. ABCD is a rectangle. Find the values of x and y.
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Question:-
ABCD is a rectangle. Find the value of x and y.
Answer:-
According to the given condition,
ABCD is a rectangle whose length and breadth are 16 cm and 12 cm respectively.
And as we can see in the figure,
- x + y = 16 ------- Eq.1
- x - y = 12 ------- Eq.2
We need to find the value of x and y.
On subtracting Eq2 from Eq1 we get,
- (x + y = 16) - ( x - y = 12)
- ( x + y - x + y) = (16 - 12)
- 2y = 4
- y = 2
On substituting value of y in equation 1, we get
- x + y = 16
- x + 2 = 16
- x = 16 - 2
- x = 14
So, the required values are,
x = 14 and y = 2.
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