Question

Find the area of the following figure given in the attachment :)​

Answer 1

Answer:

510 cm^2

Step-by-step explanation:

First for the area of the triangles---

There are 2 marked triangles and 2 unmarked triangles.

Mark the unmarked triangle which are just opposite to the marked triangles

Then 2 rectangles and 2 triangles will be formed-----

So, there are total of 4 triangles (2 marked and 2 unmarked)

We need to first calculate the area of 1 triangle and multiply it by 4 as there are 4 triangles-----

So, area of a triangle = 1/2 × base × height

So, 1/2 × 9.5 × 10 = 95/2 or 47.5 cm

47.5 × 4 = 190 cm^2 (area of triangles)

Now, we have to calculate the area of the rectangles formed by the markings of unmarked triangles

We need to calculate the area of the rectangles and multiply it by 2 as there will be 2 rectangles------

So, Area of a rectangle = Length × Breadth

So, 16 × 10 = 160 cm

160 × 2 = 320 cm^2 (area of rectangles)

Now, to find out the area of the whole figure, Add both the area of triangles and rectangles.

So,

Area of triangles + Area of rectangles = Area of the whole figure

So,

190 + 320 = 510 cm^2 (area of the whole figure)