Respuesta :

The area of a trapezoid is given by the formula

... A = (1/2)(b₁+b₂)h

where b₁ and b₂ are the lengths of the parallel bases and h is the perpendicular distance between them.

Your diagram shows b₁ = 6 m + 1 m = 7 m and b₂ = 5 m. (It does not matter which you call b₁ or b₂.) The diagram also shows h = 3 m, the distance between the bases. (A proper diagram would indicate the dashed line is at right angles to the bases.)

Using this information in the formula, you have

... A = (1/2)·(7m + 5m)·(3 m)

... = (1/2)·(12 m)·(3 m)

... = 18 m²

The area of this trapezoid is 18 square meters.

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