Respuesta :

The area of the figure is 27.5 square units.

Solution:

The given image is a trapezium.

Count the small boxes to find the length.

Length of top base ([tex]b_1[/tex]) = 4 units

Length of bottom base ([tex]b_2[/tex]) = 7 units

Height of the trapezium = 5 units

Area of the trapezium:

[tex]$A=\frac{1}{2}\times (b_1+b_2)\times h[/tex]

[tex]$A=\frac{1}{2}\times (4+7)\times 5[/tex]

[tex]$A=\frac{1}{2}\times 11\times 5[/tex]

[tex]$A=\frac{1}{2}\times 55[/tex]

A = 27.5 square units.

The area of the figure is 27.5 square units.