Question

The figure is made up of a rectangle and 2 right triangles.

Answer 1

Answer:

Total area of the figure is 1259 units² .

Step-by-step explanation:

Formula

$Area\ of\ triangle = \frac{1}{2}\times Base\times Height$

Area of a rectangle = Length × Breadth

As given

In triangle

Base = 9 unit

Height = 34 unit

In rectangle

Length = 28 unit

Breadth = 34 unit

In another triangle

Base = 11 unit

Height = 28 unit

Thus

Total area = Area of a rectangle + Area of first triangle + Area of second triangle .

$Total\ area = 28\times 34 + \frac{1}{2}\times 9\times 34 +\frac{1}{2}\times 11\times 28$

$Total\ area = 952 + \frac{306}{2} + \frac{308}{2}$

Total area = 952 + 153 + 154

Total area = 1259 units²

Therefore the total area of the figure is 1259 units² .

Answer 2

The answer is 1259 units². This is because you find the area of the rectangle by hxl (height x length). Then you find the area for the triangles using (hxl)/2 (height x length all divided by 2) You then add all the products together.