Quadrilateral LIVE is a parallelogram Given the information. answer the questions that
follow
1 Given: L= (3x - 5) cm, TV= (2y-7) em, VE= (x+7cm and LE- (y+3cm
What is the value of x? Anneer
b. How long is Ll? Answer
c. What is the value of y? Answer:
d How long is LE? Annver.
e. What is the perimeter of parallelognun LIVE? Answer:
f. What property did you apply to determine the lengths of LI,
LE, and the perimeter of the parallelogram LIVE?
Answer:
Answers
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Given :-
- LI = (3x - 5) cm .
- IV = (2y - 7) cm .
- VE = (x + 7) cm .
- LE = (y + 3) cm .
Answer :-
we know that,
- Opposite sides of a parallelogram are equal in length .
so,
→ LI = VE
→ 3x - 5 = x + 7
→ 3x - x = 7 + 5
→ 2x = 12
→ x = 6 (Ans.a) .
then,
→ LI = (3x - 5) = 3 * 6 - 5 = 18 - 5 = 13 cm (Ans.b)
similarly,
→ IV = LE
→ 2y - 7 = y + 3
→ 2y - y = 3 + 7
→ y = 10 (Ans.c) .
then,
→ LE = y + 3 = 10 + 3 = 13 cm (Ans.d)
now,
→ Perimeter of parallelogram LIVE = LI + IV + VE + LE = 2 * LI + 2 * LE = 2 * 13 + 2 * 13 = 26 + 26 = 52 cm (Ans.e)
Property used is opposite sides of a parallelogram are equal in length .
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3.
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