Question

The lengths of a rectangle are 2x and x – 3. A triangle has lengths x, x – 2 and x + 4. The rectangle and triangle have the same perimeter.

Answer 1

Let P = the combined perimeter for the rectangle and square.

P = rectangle + triangle

P = 2(2x) + 2(x - 3) + x + x - 2 + x + 4

P = 4x + 2x - 6 + 3x - 2 + 4

P = 9x - 8 + 4

P = 9x - 4