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