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Please help me find the total area of the composite figure below (geometry)

Please help me find the total area of the composite figure below (geometry)-example-1
User TinKerBell
by
8.2k points

1 Answer

13 votes

Answer:

lw +
(1)/(2) × π ×
((l)/(2) )^(2)Answer D is correct

Explanation:

First, let us find the area of the semi-circle.

Area =
(1)/(2) × π × r²

Given that,

diameter of the semi-circle is ⇒ l

∴ radius ⇒ l / 2

Let us find it now.

Area =
(1)/(2) × π × r²

Area =
(1)/(2) × π ×
((l)/(2) )^(2)

Secondly, let us find the area of the rectangle.

Area = length × width

Given that,

length ⇒ l

width ⇒ w

Let us find it now.

Area = length × width

Area = l ×w

Area = lw

And now let us find the total area.

Total area = Area of the rectangle + Area of the semi - circle

Tota area = lw +
(1)/(2) × π ×
((l)/(2) )^(2)

User Arun Balakrishnan
by
9.4k points

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