Question

Please provide an explanation if possible. I'd like to learn how to do this, and my teachers aren't doing well helping me.

Answer 1

Answer:

The answer to your question is x = 20; y = 101; Perimeter = 260

Step-by-step explanation:

Data

AD = 29

AE = 21

CE = 99

x = ?

y = ?

Perimeter ABCD = ?

Process

1.- Find x

DE = BE

Find DE using the Pythagorean theorem

              AD² = DE² + AE²

Solve for DE

             DE² = AD² - AE²

Substitution

             DE² = 29² - 21²

Simplification

             DE² = 841 - 441

             DE² = 400

Result

            DE = 20

2.- Find y

Use the Pythagorean Theorem to find DC (y)

            DC² = DE² + CE²

- Substitution

            DC² = 20² + 99²

- Simplification

            DC² = 400 + 9801

            DC² = 10201

-Result

             DC = 101

3.- Find the perimeter                        

     Perimeter = AD + DC + BC + AB

- Substitution

      Perimeter = 29 + 101 + 101 + 29

- Result

       Perimeter = 260