Find the area.

a = [?]cm²
20 cm, 10 cm and 14 cm
Shape: Trapezoid
Area of a trapezoid: (b1 + b2)/2 x h

1 answer

To find the area of a trapezoid, you need the lengths of the two bases (b1 and b2) and the height (h). However, based on the values given (20 cm, 10 cm, and 14 cm), it's unclear which are the bases and which is the height.

Let's assume:

  • \( b_1 = 20 \) cm (one base)
  • \( b_2 = 10 \) cm (the other base)
  • \( h = 14 \) cm (the height)

The area \( A \) of the trapezoid can be calculated using the formula:

\[ A = \frac{(b_1 + b_2)}{2} \times h \]

Substituting the values:

\[ A = \frac{(20 + 10)}{2} \times 14 \] \[ A = \frac{30}{2} \times 14 \] \[ A = 15 \times 14 \] \[ A = 210 \text{ cm}^2 \]

So, the area of the trapezoid is \( 210 \) cm².