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Answer:
Below in bold.
Step-by-step explanation:
This figure is a trapezoid.
We can find the missing side length by applying the Pythagoras Theorem to the right triangle on the left of the figure.
The dotted line has length 12 cm and the base of the triangle = 25 - 18 = 7 cm
So x^2 = 12^2 + 7^2 (where x = missing length)
= 144 + 49
= 189
x = √189
= 13.75 to nearest hundredth
So the perimeter
= 18 + 12 + 25 + 13.75
= 68.75 cm.
Area of a trapezoid = 1/2 (a + b) * h.
Area = 1/2 *(18 + 25) * 12
= 258 cm^2.