Question

Find the Area of the figure below, composed of a rectangle and a semicircle. Round to the nearest tenths place. PLEASE EXPLAIN WELL THANK YOU

Answer 1

68.1 square units

Explanation:

l = Length of rectangle

= 9 units

w = Width of rectangle

= 6 units

The dashed lines represent the diameter of the circle. Semi-circle is exact half of a circle. This diameter is parallel to the width of the rectangle and is equal in measurement:

r = Radius of semi-circle

=
`(Diameter)/(2)`

=
`(6)/(2)` units

= 3 units

∴Area of composite solid = Area of rectangle + Area of semi-circle

= [(l × w) +
`(1)/(2)(\pi r^(2))`]
`units^(2)`

= {[9 × 6] +
`(1)/(2)[\pi (3)^(2)]`}
`units^(2)`

= [54 +
`(9)/(2)\pi`]
`units^(2)`

= 68.137
`units^(2)`

= 68.1 square units (Rounded to the nearest tenths place)