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**Answer:**

- 102 cm²

**Step-by-step explanation:**

__Perimeter is:__

- P = 40 cm
- and
- P = 2x - 4 + 5x - 13 + x + 9 = 8x - 8

__Comparing the value:__

- 8x - 8 = 40
- 8x = 48
- x = 8 cm

__Are formula:__

- A = 1/2ah

__Replacing values:__

- A = 1/2(x + 9)(2x - 4)
- A = 1/2(8 + 9)(2*8 - 4) = 1/2*17*12 = 102 cm²

**Answer:**

60cm²

**Step-by-step explanation:**

__To ____find____ ____:____-____ __

- The Area of the triangle .

We know that Perimeter is the sum of sides of a triangle. Here the perimeter is 40cm .

→ 2x - 4 +5x - 13 + x + 9 = 40cm .

→ 8x - 8 = 40cm

→ 8x = 40+8 cm

→ 8x = 48 cm

→ x = 6cm .

We know that the area of the triangle is half the product of base and height .

- Base = x + 9 = 15cm
- Height = 2x -4 = 8cm .

→ A = 1/2 × b × h

→ A = 1/2 × 8cm × 15cm

→ A = 60cm²

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