Question

What is the area of the shaded region?

A. 21 mm squared
B. 24 mm squared
C. 42 mm squared
D. 48 mm squared

Answer 1

Hello!

Answer:

`\boxed{ \bf The~area~of~the~shaded~region~is~B.~24 mm^2}`

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Step-by-step 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 =
`(1)/(2)`bh

A =
`(1)/(2)`(12 · 5)

A =
`(1)/(2)`(60)

A = 30 mm²

Inner:

A =
`(1)/(2)`bh

A =
`(1)/(2)`(4 · 3)

A =
`(1)/(2)`(12)

A = 6

30 - 6 = 24