Question

Here is a diagram of kaths garden 11m,10m,19m,8m work out the area of the garden​

Answer 1

Given:

The diagram of the garden.

To find:

The area of the figure.

Solution:

Draw a line a and divide the given figure into two parts as shown below:

From the below figure it is clear that the line divides the figure in two parts:

1. Rectangle with sides 11 m and 8 m.

2. Twice with base (19-11)m = 8 m and height 8 m.

The area of the rectangle is

`A_1=length * width`

`A_1=11* 8`

`A_1=88`

The area of the triangle is

`A_2=(1)/(2)* base * height`

`A_2=(1)/(2)* 8 * 8`

`A_2=(64)/(2)`

`A_2=32`

Total area of the garden is

`A=A_1+A_2`

`A=88+32`

`A=120`

Therefore, the area of the given garden is 120 sq. m.