laurahuynhh
laurahuynhh laurahuynhh
  • 03-04-2020
  • Mathematics
contestada

how do i find the area of a trapezoid (pictures provided)

how do i find the area of a trapezoid pictures provided class=

Respuesta :

Hrishii
Hrishii Hrishii
  • 03-04-2020

Answer:

(10x - 5) square units.

Step-by-step explanation:

Let the lengths of equal sides be x units.

Hence, AB + AD + DC = x + x + x = 3x

Therefore, BC = 3x - 2

[tex]Area \: of \: trapezoid \\ = \frac{1}{2} (AD + BC) \times 5 \\ = \frac{1}{2} (x + 3x - 2) \times 5 \\ = \frac{1}{2} (4x - 2) \times 5 \\ = \frac{1}{2} \times 2 (2x - 1) \times 5 \\ = (2x - 1) \times 5 \\ = (10x - 5) \: {units}^{2} [/tex]

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