Question

Examine parallelogram ABCD.

Sides CD and AB have lengths of y + 18 and 4y, respectively.
Determine the value of y and answer the following question.
y +18
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What is the length of AB?
Enter the correct value.


Please help me I don’t understand I really need the answer or I won’t be able to proceed in my lesson

Answer 1

Answer:A

Explanation:

Answer 2

Explanation:

In a parallelogram, the opposite sides are parallel and also equal. The opposite angles are also equal.

In parallelogram ABCD, side AD is parallel to side BC. Also, side AB is opposite and parallel to side CD. This means that AB = CD

Sides CD and AB have lengths of y + 18 and 4y, respectively. Therefore,

y + 18 = 4y

Subtracting y from the left hand side and the right hand side of the equation, it becomes

y + 18 - y = 4y - y

3y = 18

y = 18/3 = 6

Therefore, the length of AB is

AB = 4y = 4 × 6

AB = 24