Given: AB = (3x - 5) cm, BC = (2y - 7) cm CD = (x + 7) cm and AD = (y + 3) cm
a. What is the value of x?
b. How long is AB
c. What is the value of y?
d. How long is AD?
e. What is the perimeter of parallelogram ABCD?
QUESTIONS
• How did you solve for the values of x and y?
• What property did you apply to determine the lengths of AB and AD?
Answers
we opposite side of parallelograms is equal so AB=DC then solve equation formed 3x-5=x+7 like that you can find value of x and y
Step-by-step explanation:
AB = 3x - 5, BC = 2y - 7, CD = x + 7, AD = y + 3.
In the question, It is given parallelogram.
In the parallelogram, Opposite sides are parallel and equal.
1.
AB = CD.
=> 3x - 5 = x + 7
=> 3x - x = 7 + 5
=> x = 6
(a)
Hence the value of x = 6.
(b)
AB = 3x - 5
=> 3(6) - 5
=> 13 cm
(c)
BC = AD
=> 2y - 7 = y + 3
=> 2y - y = 10
=> y = 10
(d)
AD = y + 3 = 13 cm
(e)
Perimeter = AB + BC + CD + DA
=> 13 + 13 + 13 + 13
=> 52 cm
Answers for Questions:
1.
I have solved using parallelogram properties. Opposite sides are parallel and equal
2.
To determine lengths of AB and AD, Apply the parallelogram properties.
#Hope my answer helped you!