2 Answers

StanislavK · Answer 1 · 2021-11-29T10:24:58+0000

Answer:

Area of shades region
=45 square inches

Explanation:

In the given figure accordingly, we have to find the Area of the shaded region

Area of shaded region= Area of big triangle - Area of the small triangle.

Area of a triangle=
(1)/(2) *base*altitude

Altitude is the perpendicular height of the triangle from its top to base.

Base of big triangle=12 inches, Altitude of big triangle=6+3= 9 inches

Area of Big triangle

$=(1)/(2)* 12*9\\\\=6*9\\\\=54$

Base of small triangle= 6 inches, Altitude of small triangle= 3 inches

Area of the small triangle=

$=(1)/(2) *6*3\\\\=3*3\\\\=9$

Area of shades region
$=54-9\\$

=45 square inches

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