The perimeter of this pentagon is 19x + 1
Expression for the Sum of Perimeters
Square Perimeter:
Side length: 4x
Perimeter: 4 * 4x = 16x
Triangle Perimeter:
Side lengths: X, x + 1, X
Perimeter: X + (x + 1) + X = 2X + x + 1
Sum of Perimeters:
Combine the individual perimeters:
Total perimeter = Square perimeter + Triangle perimeter
Total perimeter = 16x + (2X + x + 1)
Simplifying the expression:
Total perimeter = 16x + 2X + x + 1
Total perimeter = 19x + 1
Complete question:
Write and simplify an expression that represents the sum of the perimeters of the square and the triangle.
A square with side length 4x. A triangle with side lengths X, x + 1, X