Question

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

What is the area of the figure?

1259 units²

1292 units²

1413 units²

1566 units²

Answer 1

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.

Answer 2

Total area of the figure is 1259 units² .

Explanation:

Formula

`Area\ of\ triangle = (1)/(2)* Base* 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* 34 + (1)/(2)* 9* 34 +(1)/(2)* 11* 28`

`Total\ area = 952 + (306)/(2) + (308)/(2)`

Total area = 952 + 153 + 154

Total area = 1259 units²

Therefore the total area of the figure is 1259 units² .