Respuesta :

clicker786

Answer:

114.8  cm^2

Step-by-step explanation:

Finding the area of the shape

we can break down this figure into individual shapes :

- rectangle

- triangle

- parallelogram

area of a triangle

formula:

[tex]\frac{1}{2} * base * height\\[/tex]

[tex]\frac{1}{2} * 11.2 * 4.5\\[/tex]

area of a triangle =25.2  cm^2

area of a rectangle

formula:

[tex]base * height\\[/tex]

4.5 * 8

area of a rectangle = 36  cm^2

area of parallelogram

formula:

1/2 * ( sum of parallel sides ) * height

1/2 * ( 8 + 8 ) * 6.7

area of a parallelogram = 53.6  cm^2

Total area

= area of rectangle + area of triangle + area of parallelogram

= 25.2 + 36 + 53.6

= 114.8  cm^2

lavanyaande

The area of the given figure is 114.8 sq cm.

Step-by-step explanation:

Given,

The figure consists of a right angle triangle, a rectangle and a parallelogram

Area of the fig = area of triangle + area of rectangle + area of parallelogram

For the triangle

Height (h) = 4.5 cm

Base (b) = 11.2 cm

For the rectangle

Length (l) = 8 cm

Width (w) = 4.5 cm

For the parallelogram

Length of opposite parallel side (b) = 8 cm

Height (h) = 6.7 cm

To find the area of the figure.

Formula

Area of triangle = [tex]\frac{1}{2}[/tex]×b×h

Area of rectangle = l×w

Area of parallelogram = b×h

Now,

Area of triangle = [tex]\frac{1}{2}[/tex]×11.2×4.5 sq cm

=25.2 sq cm

Area of rectangle = 8×4.5 sq cm = 36 sq cm

Area of parallelogram = 6.7×8 sq cm = 53.6 sq cm

Hence,

Area of the fig = 25.2+36+53.6 sq cm = 114.8 sq cm

Otras preguntas