Isosceles trapezoid

Perimeter of the isosceles trapezoid is 48 cm. One side is two times greater than the second side. Determine the dimensions of the trapezoid.

Correct answer:

a =  10 cm
b =  16.5 cm
c =  5 cm
d =  16.5 cm

Step-by-step explanation:

$$\begin{gathered} a+b+c+d=48 \\ b=d \\ a=2c \\ c=5 \\ a=2\cdot c=2\cdot 5=10\text{cm} \end{gathered}$$

$$\begin{gathered} a+b+c+b=48 \\ 10+b+5+b=48 \\ 2b=33 \\ b=\frac{33}{2}=16.5 \\ b=\frac{33}{2}=16.5=16.5\text{cm} \end{gathered}$$

$c=5=5\text{cm}$

$d=b=16.5=16.5\text{cm}$

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