Question

The perimeter of a rectangle is 8(2x + 1) inches. The length of the sides of a rectangle are 3x + 4 inches and 4x + 3 inches. Write and solve an equation to find the length of each side of the rectangle.

Answer 1

8(2x+1)=2(3x+4) + 2(4x+3)
16x+8=6x+8+8x+6
16x+8=14x+14
2x=6
X=3
now just replace X with 3 to find the length and width

Answer 2

Length of rectangle=
`3(3)+4=13`

Width of rectangle=
`4(3)+3=15`

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=(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`