The base and height of a triangle are each extended 2 cm. what is the area of the shaded region?

Using the relations of triangles
x/8 = (x+2)/10
10x = 8x + 16
10x - 8x = 16
2x = 16
x = 8

let's get the area of the rectangle in the shaded region first.

A = base x height

2cm x 8cm = 16cm²

...now the smaller triangle

A = ½(base)(height)
A = ½(2)(2)
A =4/2
A = 2cm²

adding the 2 Areas we get...

16cm² + 2cm² = 18cm²

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