The figure (not drawn to scale) consists of a semicircle, one large rectangle, and one small rectangle,
with dimensions as shown. The width of the small rectangle is 3 feet and its length is 3 times the width.
50 ft

The figure not drawn to scale consists of a semicircle one large rectangle and one small rectangle with dimensions as shown The width of the small rectangle is class=

Respuesta :

The shaded region area is the amount of space covered by the shaded region

The area of the shaded region is 3.75 square feet

How to determine the shaded area

The question is incomplete, as the figure is not given.

So, I will give a general explanation

Assume that the figure has the following properties

  • Big rectangle of dimension, 10 ft by 5 ft
  • Small rectangle of dimension 3 ft by 9ft
  • Semicircle of a diameter of 7ft

Start by calculating the area of the big rectangle

Area = 10 ft * 5 ft = 50 square ft

Calculate the area of the small rectangle

Area = 3 ft * 9 ft = 27 square ft

Calculate the area of the semicircle

Area = 0.5 * 22/7 * (3.5)^2 ft = 19.25 square ft

Assume that the shaded area is outside the semicircle and the small rectangle, the shaded area would be:

Shaded area = Big rectangle - Small rectangle - Semicircle

So, we have:

Shaded area = 50 - 27 - 19.25

Shaded area = 3.75

Using the assumed values, the area of the shaded region is 3.75 square feet

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