in a rectangle abcd ,ab=x+y,bc=x-y,cd=9 and ad=3,find value of x and y
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Given:
ABCD is rectangle where:
AB = x+y
BC = x-y
CD =9
DA = 3
To Find:
x =?
y =?
Solution:
We know that opposite side are equal in rectangle, So:
AB = CD
x + y = 9
∴ x = 9 -y ...1)
BC = DA
x - y = 3 ...2)
Putting value of x from equation 1) into equation 2):
9 - y -y =3
-2y = 3 -9
-2y = -6
∴ y =3
On putting value of y in equation 1):
x = 9 -y
x = 9 - 3
∴ x =6
Value of x and y is 6 and 3.
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