Question

Help : The area of the figure given below is....

Ignore the black marks in the photo!

Answer 1

the correct answer is 256.08 cm sq.

Area of hexagon= 166.08 sq.cm

Area of rectangle=80 sq.cm

Area of triangle=10 sq.cm

Total area= 166.08 + 10 + 80 = 256.08 sq.cm

Answer 2

Given: The figure.

To find: The area of the figure given.

Solution:

The given figure can be divided into a hexagon rectangle and a right-angled triangle. So, the area of a hexagon is given by the following formula.

$Area = \frac{3 \sqrt{3} }{2} (side)^{2}$

         $= \frac{3 \sqrt{3} }{2} (8)^{2}$

         $= 166.27 cm^{2}$

The area of the given rectangle can be calculated as follows.

$Area = length * breadth$

        $= 10 * 8$

        $= 80 cm^{2}$

Now, the area of the right-angled triangle can be calculated as follows.

$Area = \frac{1}{2} * base * height$

        $= \frac{1}{2} * (8-3) * (14-10)$

        $= \frac{1}{2} * (5) * (4)$

        $= 10 cm^{2}$

Thus, the area of the whole figure is equal to

$Area = 166.27 + 80 +10$

        $= 256.27 cm^{2}$

Therefore, the area of the figure given is 256.27 cm².