Question

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

Answer 1

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)`