Answer:
Length of rectangle=[tex]3(3)+4=13[/tex]
Width of rectangle=[tex]4(3)+3=15[/tex]
Step-by-step explanation:
We are given that
Perimeter of rectangle=[tex]8(2x+1)[/tex]
Length of sides of rectangle=[tex]3x+4[/tex]
Width of rectangle=[tex]4x+3[/tex]
We have to solve the equation and find the length of each side of rectangle
We know that perimeter of rectangle=[tex]2(L+B)[/tex]
Substitute the values then we get
[tex]8(2x+1)=2(3x+4+4x+3)[/tex]
[tex]16x+8=14x+14[/tex]
[tex]16x-14x=14-8[/tex]
[tex]2x=6[/tex]
[tex]x=\frac{6}{2}=3[/tex]
Substitute the value of x then we get
Length of rectangle=[tex]3(3)+4=13[/tex]
Width of rectangle=[tex]4(3)+3=15[/tex]
