38.2k views
0 votes
ABCD is a parallelogram. Determine the length of AD.

ABCD is a parallelogram. Determine the length of AD.-example-1
User Akhila
by
7.5k points

2 Answers

10 votes

Answer:

10

Explanation:

→ Equate both sides of the parallelogram as they are equal

2x = x + 5

→ Solve

x = 5

→ Resubstitute for the length AD

5 + 5 = 10

User Artur Czajka
by
9.1k points
1 vote

Answer:

D) 10 units

Explanation:

Opposite sides of a parallelogram are congruent.

__

setup

The relation between opposite sides tells you ...

BC = AD

2x = x +5

solution

x = 5 . . . . . . . subtract x from both sides of the equation

We want the length of AD, which is ...

AD = x +5 = 5 +5

AD = 10

_____

Additional comment

Often, it seems like the question is answered once the value of x is found. Here, finding the value of x is an intermediate step. The value of x is needed in order to be able to answer the question about the value of an expression involving x.

User Breadtruck
by
8.0k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories