Since an electronics company is designing a watch with a face that is in the shape of a hexagon and two congruent trapezoids attached. The heights of the trapezoids and the apothem of the hexagon measure 2 centimeters each, and the length of the shorter base of each trapezoid is 1.5 centimeters, the radii of the hexagon, and the base of the trapezoid form a triangle of

height, h = apothem of the hexagon = 2 cm and
base, b = length of shorter base of trapezoid.

<h3>Area of the triangle</h3>

So, the area of this triangle is A = 1/2bh

= 1/2 × 1. 5 cm × 2 cm

= 1.5 cm × 1 cm

= 1.5 cm²

<h3>Area of the hexagon</h3>

Since there are 6 of such triangles in the hexagon, the area of the hexagon, A' = 6A

= 6 × 1.5 cm²

= 9.0 cm²

So, the total area of the face of the watch to the nearest tenth of a square centimemter is 9.0 cm²

Learn more about area of a hexagon here:

brainly.com/question/369332

5 0

2 years ago

The diagram below shows a rectangle with a shaded region. What is the area, in square meters, of the shaded region in the diagra

Mila [183]

Answer:

Step-by-step explanation:

Area of shaded region= area of rectangle- area of triangle

Area of rectangle= l×b

=9×3

= 27m²

Area of triangle= $\frac{1}{2}$ b×h

= $\frac{1}{2}$ ×3×3

= $\frac{9}{2}$ ⇒4.5

Area of shaded region= area of rectangle- area of triangle

=27-4.5

=22.5m²

5 0

3 years ago