Respuesta :
The length is 2 more than twice the width L = 2 + 2* x so one equation is L=2+2x the perimeter of a rectangle is found by adding up all the sides so you have x+x+L+L=76 2x+2L=76 ------ if you want to find the dimensions (use the equations i have above) 2x+2(2+2x)=76 2x+4+4x=76 6x+4=76 6x=76-4 6x=72 x=12 is the width so the length is L=2+2x=2+2(12)=2+24=26
Answer:
- The expression which represents the perimeter is:
[tex]6x+4[/tex]
- The length of the rectangle is: 26 units.
- The width of the rectangle is: 12 units.
Step-by-step explanation:
x represents the width of the rectangle.
Also, the length of a rectangle is 2 more than twice the width.
i.e. the length of the rectangle is given by:
2x+2
Now, we know that the perimeter of the rectangle is given as the sum of all the sides of a rectangle and is given by:
[tex]\text{Perimeter}=2(L+W)[/tex]
where L is the length of the rectangle and W is the width of the rectangle.
Hence, here the expression which represents the perimeter is:
[tex]2(3x+2)=6x+4[/tex]
Hence, based on the given question we have:
[tex]2(2x+2+x)=76\\\\2(3x+2)=76\\\\3x+2=\dfrac{76}{2}\\\\3x+2=38\\\\3x=38-2\\\\3x=36\\\\x=\dfrac{36}{3}\\\\x=12[/tex]
Hence, the width of the rectangle is: 12 units.
and the length of the rectangle is: 2×12+2=26 units.
