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Step-by-step explanation:

Using Pythagorean Theorem first to find EC

Given that:

AE = EC

AE = 12 cm

Now,

AB = AE + EB

AB = 12 + 5

AB = 17 cm

ABCD is a trapezoid / trapezium

So,

Area of Trapezium =

Where AB = 17 , DC = 8 and EC = 12

Area of Trapezium =

Area of Trapezium = (25)(6)

Area of Trapezium = 150 cm²

answer

d. 10

explanation

the distance from point y to wx is the height of the triangle.

using pythagoras theorem,

group similar terms to get,

this implies that,

take positive square root of both sides to get,

this implies that,