What is the value of x if the perimeter of both shapes is the same?
1 answer:
The value of x is:
<u><em>Recall</em></u>:
Perimeter of a shape is the sum of all its sides
<em>Thus</em>:
Perimeter of the triangle =
Perimeter of the rectangle =
We are told that the perimeter of both shapes are equal. Set both perimeters equal and solve for x.
<em>Add like terms</em>
<em />
<em>Divide both sides by 3</em>
<em />
The value of
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Answer:
The points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).
Step-by-step explanation:
The equation of the line passing through two points and
is
So, the equation of the line passing through two points (0,5) and ( 2, 8 ) is
For the point (4,11), pout x=4 in equation (i), we have
, which is given y coordinate, hence this point (4,11) lies on the line.
For the point (5,10), pout x=5 in equation (i), we have
which is not the given y coordinate, hence the point (5,10) doesn't lie on the line.
For the point (6,14), pout x=6 in equation (i), we have
, which is the given y coordinate, hence the point (6,14) lies on the line.
For the point (30,50), pout x=30 in equation (i), we have
, which is the given y coordinate, hence the point (30,50) lies on the line.
For the point (40,60), pout x=40 in equation (i), we have
, which is not the given y coordinate, hence the point (40,60) doesn't lie on the line.
Hence, the points (4,11), (6,14), (30,50) lie on the line joining the points (0,5) and (2,8).