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Find the area of the shaded figure below.

Find the area of the shaded figure below.-example-1
User Ken Benoit
by
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1 Answer

4 votes

Answer:

x(y/2 + z)

Explanation:

There are two triangles here.

The small triangle which is bound by dotted lines has base = y and height = x

The height of the larger triangle is 2x and its base is y + z

Area of larger triangle = 1/2 · 2x · (y + z)
= x(y + z) = xy + xz

Area of smaller triangle = 1/2 · x · y = xy/2

Shaded region area = Area of larger triangle - area of smaller triangle

= xy + xz - xy/2

= xy/2 + xz

= x(y/2 + z)

User Lika
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