Question

Please help! Find the value of x and the perimeter

Answer 1

Answer:

For the triangle, $x=14$

For the rectangle, $x=\frac{5}{2}$

Step-by-step 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:

$x = \frac{40}{16}$

Simplifying this fraction gets us

$\frac{5}{2}$

Hope this helped!