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