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SVETLANKA909090 [29]
3 years ago
13

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

Mathematics
1 answer:
scoray [572]3 years ago
5 0

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

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}

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