What is the area of the shaded region?
A. 21 mm squared
B. 24 mm squared
C. 42 mm squared
D. 48 mm squared

What is the area of the shaded region A 21 mm squared B 24 mm squared C 42 mm squared D 48 mm squared class=

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Answer:

[tex]\boxed{ \bf The~area~of~the~shaded~region~is~B.~24 mm^2}[/tex]

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Explanation:

To find the area of the shaded region, we must find the area of the inner white triangle and subtract it from the area of the outer blue one.

Outer:

A = [tex]\frac{1}{2}[/tex]bh

A =  [tex]\frac{1}{2}[/tex](12 · 5)

A =  [tex]\frac{1}{2}[/tex](60)

A = 30 mm²

Inner:

A = [tex]\frac{1}{2}[/tex]bh

A = [tex]\frac{1}{2}[/tex](4 · 3)

A = [tex]\frac{1}{2}[/tex](12)

A = 6

30 - 6 = 24