Find the area.

A = [?]cm²
20 cm, 18 cm and 8 cm
Shape: Trapezoid
Area of a trapezoid: (B¹ + B²)/2 x H
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1 answer

To find the area of the trapezoid given that the bases are 20 cm and 18 cm, and the height is 8 cm, you can use the formula for the area of a trapezoid:

\[ A = \frac{(B^1 + B^2)}{2} \times H \]

Substituting in the values:

  • \(B^1 = 20 , \text{cm}\)
  • \(B^2 = 18 , \text{cm}\)
  • \(H = 8 , \text{cm}\)

Now, plug in the values:

\[ A = \frac{(20 , \text{cm} + 18 , \text{cm})}{2} \times 8 , \text{cm} \] \[ A = \frac{38 , \text{cm}}{2} \times 8 , \text{cm} \] \[ A = 19 , \text{cm} \times 8 , \text{cm} \] \[ A = 152 , \text{cm}^2 \]

Thus, the area of the trapezoid is:

\[ A = 152 , \text{cm}^2 \]