Answer:
XY=47
Step-by-step explanation:
1. Set up an equation for the perimeter of the rectangle. 2(5y-3)+2(4y)=174.
2. Simplify.
- apply the Distributive Property. 2(5y-3)+2(4y)=10y-6+8y
- combine like terms. 10y-6+8y=18y-6
3. Therefore, 18y-6=174.
4. +6 to both sides of the equation. the equation becomes 18y=180.
5. divide 18 to both sides of the equation. y=10.
6. the length of side XY=5y-3. substitute the value of y into the expression: 5(10)-3=50-3=47.
