Question

Please help! Find the value of x and the perimeter

Answer 1

For the triangle,
`x=14`

For the rectangle,
`x=(5)/(2)`

Explanation:

To solve for x in these equations, we have treat each side as it's just one number - add them all up.

The perimeter of a triangle will be the sum of all 3 of its sides.

So:

`x + 4 + 2x - 3 + x = 57`

We can combine like terms to get

`4x + 1 = 57`

Subtract 1 from both sides:

`4x = 56`

Divide both sides by 4:

`x = 14`

For the rectangle, the perimeter is
`2l + 2w`, so we can add up the sides.

`5x - 4 + 5x - 4 + 3x + 2 + 3x + 2 = 36`

Combine like terms:

`16x - 4 = 36`

Add 4 to both sides:

`16x = 40`

Divide both sides by 18:

`x = (40)/(16)`

Simplifying this fraction gets us

`(5)/(2)`

Hope this helped!