The perimeter of parallelogram ABCD is 46 inches. What is DA? 3 in. 4 in. 8 in. 19 in.
Answers
Answer:
The answer is option (B) 4 inches.
Step-by-step explanation:
Given data:
The perimeter of parallelogram ABCD = 46 inches.
Let's suppose the length of DA = x
As we know that the length of opposite sides of a parallelogram are equal.
Thus AB and DC are opposite sides. So,
AB = DC
8x - 5 = 3x + 10
5x = 15
x = 3
The value of x is 5. Therefore the length of AB is,
AB = 8x - 5 = 8(3) - 5 = 19
AD and BC are opposite sides therefore the lengths of AD and BC are equal.
Perimeter = AB + BC + CD + DA
46 = 2(AB) + 2(AD)
46 = 2(19) + 2(AD)
8 = 2(AD)
AD = 8/2
AD = 4
Thus the value of AD is 4.
Answer:
Answer:
The answer is option (B) 4 inches.
Step-by-step explanation:
Given data:
The perimeter of parallelogram ABCD = 46 inches.
Let's suppose the length of DA = x
As we know that the length of opposite sides of a parallelogram are equal.
Thus AB and DC are opposite sides. So,
AB = DC
8x - 5 = 3x + 10
5x = 15
x = 3
The value of x is 5. Therefore the length of AB is,
AB = 8x - 5 = 8(3) - 5 = 19
AD and BC are opposite sides therefore the lengths of AD and BC are equal.
Perimeter = AB + BC + CD + DA
46 = 2(AB) + 2(AD)
46 = 2(19) + 2(AD)
8 = 2(AD)
AD = 8/2
AD = 4
Thus the value of AD is 4.
Step-by-step explanation:
Hope this answer will help you.✌️