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klasskru [66]
4 years ago
15

ABCD is a parallelogram. if side AB=5x+7 side BC=8x-12 and side CD=7x-14 find the value of x

Mathematics
1 answer:
iren [92.7K]4 years ago
3 0

Answer:

The value of x is 10.5 units.

Step-by-step explanation:

Given:

ABCD is a parallelogram.

AB = 5x+7

BC = 8x-12

CD = 7x-14

We need to find the value of x.

Now the Definition of Parallelogram states that;

"A parallelogram is a quadrilateral with two pairs of parallel sides. The opposite sides of a parallelogram are equal in length and the opposite angles are equal in measure."

Hence from Above definition we can say that;

AB =CD since these are the opposite sides of parallelogram.

Now Substituting the given values we get;

5x+7=7x-14

Now solving the equation we get;

Combining the like terms first.

7x-5x=7+14

Now using addition and subtraction property of equality we get;

2x=21

Now using Division Property we will divide 2 on both side we get;

\frac{2x}{2}=\frac{21}{2}\\\\x=10.5 \ units

Hence the value of x is 10.5 units.

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