Question

2. You plan to model the tip of a submarine with the composite shape shown here. This shape is made up of a semicircle, rectangle, and trapezoid. a. Find the area of the rectangle. One of its side lengths needs to be calculated 8 cm 12 cm 1 3.5 cm non 15 cm b. Find the area of the circle, trapezoid and the total area

Answer 1

The area of a rectangle is 36 square cmNSWER

Explanation:

What to find? The area of a rectangle

Given parameters;

The diameter of the semicircle = 8cm

The total height of the figure = 12cm

The height of the trapezoid = 3.5cm

NB: The figure comprises a semi-circle, rectangle, and a trapezoid.

Area of a rectangle = Length x width

According to the question, the diameter of the semicircle is the same as the width of the rectangle

Hence, the width of the rectangle is 8cm

To find the area of the rectangle, we need to get the length of the rectangle

The total height of the figure = 12cm

The height of the semi-circle is the radius of the semicircle

Radius = Diameter / 2

Radius = 8/2

Radius = 4cm

The length of the trapezoid = 3.5cm

Hence,

Length of the rectangle = Total height - (Length of the trapezoid + radius of the semicircle)

Lenght of the rectangle = 12 - (3.5 + 4)

Length of the rectangle = 12 - 7.5

Length of the rectangle = 4.5cm

Area of a rectangle = Length x width

Area of a rectangle = 4.5 x 8

Area of a rectangle = 36 square cm