Question

Can someone help me understand why this is the answer to this question?
5. What is the area of the figure below? (1 point)
7.5 m²
15 m²
21.25 m² 10 years ago

Answer 1

The figure you have is called a kite.
The area of a kite is the product of the two diagonals divided by 2.

Answer 2

Can you find the lengths of the diagonals?

Answer 3

the anwser is in fact 21.25 By congruency we shall find that the 2 triangles in the upper half of the figure and the 2 triangles in the lower half are respectively congruent.
So
1 triangle in the upper half=
base=2.5 m
altitute=2.5m too (isosceles triangle..hence base and height are of same length)
area=2.5
2.5×2.5×12=3.125

2 such triangles in the upper half= 3.125 * 2= 6.25 sq m.

1 triangle in the lower half=
base=2.5 m
altitute=6m
area=7.5 sq m
2 such triangles in the upper half= 7.5 * 2= 15 sq m
Therefore total area of figure= 6.25+15= 21.25 sq m

Answer 4

The diagonals of a kite are perpendicular.
That means the small upper left triangle is a 45-45-90 triangle.
The legs are congruent, so the bottom leg also measures 2.5 m.

Answer 5

did my anwser make since

Answer 6

The diagonals are 2.5 m + 2.5 m = 5 m,
and 6 m + 2.5 m = 8.5 m.

Now multiply the lengths of the diagonals and divide by 2 to find the area of the kite:

A = (5 m * 8.5 m)/2 = 42.5/2 m^2 = 21.25 m^2

Answer 7

what do yuo think taytay23

Answer 8

See, the kite basically has 2 pairs of congruent triangles. So let's just take one side of the kite. I assume you know how to find the area of a triangle, so what you have now is something like we'll use the shaded region to find out one side. So the small triangle has height 2.5, and base 2.5, so the are oaf it is 3.125. Using the same method, we find the area of the bigger triangle whose area is 6 (height) * 2.5 (base) all divided by 2, which gives us 7.5. 7.5+3.125=10.625 gives us the area of the right half of the kite. Due to the shape's symmetry, we can find the total area by multiplying 10.625 by 2, which equals 21.25.