Question

Read the above and answer ​

Answer 1

Area = 76 m²

Explanation:

The given figure can be split into 2 figures as shown below. One of the figure will be a rectangle and the other will be a square.

From the rectangular figure,

Length of the rectangle is,
`L=4+4+4=12\ m`

Width of the rectangle is,
`W=5\ m`

Therefore, the area of the rectangular figure is given as:

`A_1=L* W\\A_1=12* 5=60\ m^2`

Now, consider the square.

Side of the square is,
`a=4\ m`

We know that, area of a square of side length 'a' is given as:

`A_2=a^2\\A_2=(4)^2=4* 4=16\ m^2`

The total area of the given figure is the algebraic sum of the areas of the rectangle and square. Therefore,

Total area = Area of rectangle + Area of square

Total area =
`A_1+A_2`

Total area =
`60\ m^2\ +\ 16\ m^2`

Total area = 76 m²

Hence, the total area of the given figure is 76 square meters