Question

The midpoint of (x,3)  and  (2,y)(x,3)  and  (2,y)  is (5,5)(5,5)  then the value of x,yx,y  is
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Answer 1

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:Perimeter of Rectangle = 2 × Length + 2 × Breadth

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:Perimeter of Rectangle = 2 × Length + 2 × BreadthThe perimeter can be represented using a model as below.

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:Perimeter of Rectangle = 2 × Length + 2 × BreadthThe perimeter can be represented using a model as below.Perimeter = Length + Breadth + Length + Breadth

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:Perimeter of Rectangle = 2 × Length + 2 × BreadthThe perimeter can be represented using a model as below.Perimeter = Length + Breadth + Length + Breadth= 2 × Length + 2 × Breadth

The perimeter of a rectangle is the length of all its 4 sides. Formula to calculate the perimeter of a rectangle is:Perimeter of Rectangle = 2 × Length + 2 × BreadthThe perimeter can be represented using a model as below.Perimeter = Length + Breadth + Length + Breadth= 2 × Length + 2 × BreadthLength + Breadth = Perimeter ÷ 2

Answer 2

Therefore the values of 'x' and 'y' are 8 and 7 respectively.

Given:

The points are (x,3)  and  (2,y).

The midpoint of the given points (x,3)  and  (2,y) is ( 5,5 ).

To Find:

The value of 'x' and 'y'.

Solution:

The given question can be solved very easily as shown below.

Given that,

The points are (x,3)  and  (2,y).

The midpoint of the given points (x,3)  and  (2,y) is ( 5,5 ).

The mid-point is just the average of both the given coordinates of the points given individually.

The X-coordinate of the midpoint is given by,

⇒ ( x + 2 ) / 2 = 5

⇒ ( x + 2 ) = 10 ⇒ x = 8

The Y-coordinate of the midpoint is given by,

⇒ ( 3 + y ) / 2 = 5

⇒ ( 3 + y ) = 10 ⇒ y = 7

Therefore the values of 'x' and 'y' are 8 and 7 respectively.

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