Question

The perimeter of parallelogram ABCD is 46 inches. What is DA? 3 in. 4 in. 8 in. 19 in.

Answer 1

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 2

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.✌️