What is the area of the figure below a. 7.5 b. 15 c. 21.25 d. 42.5

Check the picture below.

let's recall that in a Kite, the diagonals meet at 90° angles, therefore, we know the height of each of those 4 triangles, is 2.5 and 6, now, since the pair of triangles above are 45-45-90 triangles, we can use the 45-45-90 rule, as you see there, so, if the height is 2.5, then the base is also 2.5.

so, we really have 2 pair of triangles whose base is 2.5 and height of 2.5, and another pair of triangles whose base is 2.5 and height is 6, let's add their areas.

The correct answer is option C.  21.25

Step-by-step explanation:

Formula:-

Area of triangle  = bh/2

Where b - Base of triangle and h - Height of triangle

From the figure we can see a two isosceles triangle.

One triangle with base 5 m(2.5 + 2.5) and height 2.5 m

The second triangle with base 5 m and height 6

To find the area of first triangle

Here b = 5 m and h = 2.5 m

Area = bh/2 =(5 * 2.5)/2 = 6.25 m²

To find the area of second triangle

Here b = 5 m and h = 6 m

Area = bh/2 =(5 * 6)/2 = 15 m²

To find total area

Total area = Area of 1st triangle + area of 2nd triangle

  = 6.25 + 15 = 21.25 m²

The correct answer is option C.  21.25

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