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asked Oct 10, 2020 177k views

1 Answer

LosManos · Answer 1 · 2020-10-16T13:43:42+0000

Answer:

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