Answer:
Part A: y = 3 inches
Part B: Area = 60 square inches
Step-by-step explanation:
perimeter of the rectangle = 34 inches =2*(4y)+2*x
2*(4y)+2*x =34 Equation 1
perimeter of the triangle = 40 inches =5y +5y +2x
5y +5y +2x = 40 Equation 2
Using Equation 2 we have:
10y+2x = 40
2x= 40-10y
x= (40-10y)/2
We have:
x= 20-5y Equation 3
Using Equation 1
2*(4y)+2*(20-5y) =34
8y+40-10y =34
40-34=2y
6=2y so we have y=3inches
Area of the rectangle=x*4y= 5*4*(3)=60 square inches
Using x= 20-5y Equation 3
X=20-5*3=5
