Question

The hexagon is made from a rectangle and two identical triangles.

Answer 1

Answer:

The area of the hexagon is 108 cm².

Step-by-step explanation:

Consider the below figure attached with this question.

From the below figure we get

Length of rectangle = 12 cm

width of rectangle = 5 cm

It is given both triangles are identical.

Base of each triangle = 12cm

Height of each triangle = (13-5)/2 = 4 cm

Area of rectangle is

$Area=length\times width=12\times 5=60$

Area of rectangle is

$Area=\frac{1}{2}\times base\times height$

$Area=\frac{1}{2}\times 12\times 4=24$

Area of one triangle 24 cm². So, area of both triangle is

$2\times 24=48$

Area of hexagon = Area of rectangle + Area of both triangles

                            = $60+48$

                            = $108$

Therefore, the area of the hexagon is 108 cm².