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2 years ago

What is the perimeter of quadrilateral ABCD?

Mathematics

1 answer:

alex41 [277]2 years ago

5 0

Answer:

Perimeter of quadrilateral $ABCD$ will be $104$

Step-by-step explanation:

Given quadrilateral $A'B'C'D'$ is a reflection of quadrilateral $ABCD$ over the line $m$ .

So, all the corresponding sides of both the quadrilateral should be equal.

Also, we can see from the diagram that $A'D'=32,\ A'B'=22,\ BC=20,\ and\ CD=30$

As both image are reflection of same scale we can add corresponding sides.

So, the perimeter of $ABCD$ will be

$AB+BC+CD+DA$

And we have $AB=A'B'\ and\ AD=A'D'$

Now, perimeter of $ABCD$ will be $22+20+30+32$

Perimeter of quadrilateral $ABCD$ is $104$

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Step-by-step explanation:

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$\displaystyle \left \{ {{4x-y=6} \atop {x-y=0}} \right.$

Calculating:

$\Delta=\begin{vmatrix}4 &-1 \\1 &-1 \end{vmatrix}=-4+1=-3$

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