The perimeter of parallelogram ABCD is 46 inches. What is DA?
2 answers:
ANSWER
EXPLANATION
The perimeter of a parallelogram is given by the formula,
It is the same as that of the rectangle.
We were given that the perimeter is 46 inches. So now we need to determine the length of the parallelogram using the equation
The reason is that, the opposite sides of a parallelogram are equal.
We solve the equation for x to obtain,
This means that,
Dividing through by 5, we obtain,
Meaning the length is
We now plug in
into
to get,
DA is the width of the parallelogram, therefore
EXPLANATION
The perimeter of a parallelogram is given by the formula,
It is the same as that of the rectangle.
We were given that the perimeter is 46 inches. So now we need to determine the length of the parallelogram using the equation
The reason is that, the opposite sides of a parallelogram are equal.
We solve the equation for x to obtain,
This means that,
Dividing through by 5, we obtain,
Meaning the length is
We now plug in
into
to get,
DA is the width of the parallelogram, therefore
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Answer- Follow the attachment attached herewith.
Solution-
As we know if we are moving in left or right, we have to deal with the x - direction or x co-ordinate and if we are moving in up and down , we have to deal with y - direction or y co-ordinate .
If we are moving in right ,we have to add in x co-ordinate and if we are moving left we have subtract from x co-ordinate. Likewise, if we are moving up, we have to add in y co-ordinate and if we are moving down, then we have to subtract from y co-ordinate.
As given in the question, we have move the triangle 4 units right and 5 units down,
The co-ordinate of given triangles'
A = (-1,3)
B = (-5,-3)
C = (2,-1)
∴Then the new co-ordinate will be
A' = (-1+4 , 3-5) = (3,-2)
B' = (-5+4 , -3-5) = (-1,-8)
C' = (2+4 , -1-5) = (6,-6)
