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

Question

asked Feb 26, 2021 61.5k views

1 Answer

Darren Gosbell · Answer 1 · 2021-03-04T17:59:26+0000

Hello!

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

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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