Mathematics: Find the equivalent expression for each of the following

Find the equivalent expression for each of the

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19.05.2020

Option D:

The approximate area of the figure is 109.6 square feet.

Solution:

The figure is splitted into three shapes.

One is rectangle and the other two is semi-circles.

Diameter of the semi-circle = 5 feet

Radius of the semi-circle = 5 ÷ 2 = 2.5 feet

Area of the semi-circle = $\frac{1}{2}\pi r^2$

$$=\frac{1}{2}\times 3.14\times (2.5)^2$

Area of the semi-circle = 9.8 square feet

Area of 2 semi-circles = 2 × 9.8

Area of 2 semi-circles = 19.6 square feet

Length of the rectangle = 18 feet

Width of the rectangle = 5 feet

Area of the rectangle = length × width

= 18 × 5

Area of the rectangle = 90 square feet

Area of the figure = Area of 2 semi-circles + Area of the rectangle

= 19.6 square feet + 90 square feet

= 109.6 square feet

The approximate area of the figure is 109.6 square feet.

Hence Option D is the correct answer.

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