Calculating the Area of a Kite in a Figure

You did not say how was "easy to find the area of that upper triangle" and you did not say how you found it.In summary, the lengths of the perpendicular supporting rods are 80.0cm and 105.0cm, and the lengths of the shorter and longer sides are 50.0cm and 85.0cm respectively. The area of the kite can be calculated by dividing it into two triangles and adding their areas, with the altitude of the upper triangle being 0.3m and the altitude of the lower triangle being 0.75m. The total area is 0.42m2.
  • #1
chawki
506
0

Homework Statement


The lengths of the two perpendicular supporting rods are 80.0cm and 105.0 cm. The lengths of the two shorter sides are 50.0 cm and the lengths of the two longer sides are 85.0cm.
The supporting rods are drawn with a bolded line in the figure.

Homework Equations


Calculate the area of the kite in the figure and give the answer in units meters squared.
The supporting rods are drawn with a bolded line in the figure.

The Attempt at a Solution


we divide the kite into two triangles, the up triangle and lower triangle
Akite=Aup+Adown

Aup= 0.8*0.3/2 = 0.12m2
Adown= 0.8*0.75 / 2 = 0.3m2

Akite= 0.12+0.3 = 0.42m2
 

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  • #2
chawki said:

Homework Statement


The lengths of the two perpendicular supporting rods are 80.0cm and 105.0 cm. The lengths of the two shorter sides are 50.0 cm and the lengths of the two longer sides are 85.0cm.
The supporting rods are drawn with a bolded line in the figure.

Homework Equations


Calculate the area of the kite in the figure and give the answer in units meters squared.
The supporting rods are drawn with a bolded line in the figure.

The Attempt at a Solution


we divide the kite into two triangles, the up triangle and lower triangle
Akite=Aup+Adown

Aup= 0.8*0.3/2 = 0.12m2
Where did the 0.3 come from? Apparently you are saying that the altitude of the upper triangle is 30 cm or 0.3 m. How did you get that?
chawki said:
Adown= 0.8*0.75 / 2 = 0.3m2
Here you are apparently saying that the altitude of the lower triangle is 75 cm of .75 m. How did you get that?
chawki said:
Akite= 0.12+0.3 = 0.42m2
 
  • #3
Mark44 said:
Where did the 0.3 come from? Apparently you are saying that the altitude of the upper triangle is 30 cm or 0.3 m. How did you get that?
Here you are apparently saying that the altitude of the lower triangle is 75 cm of .75 m. How did you get that?

we try to find the heigh of the upper triangle, we have
0.42+h2=0.52
h2=0.52-0.42
h=0.3m

and then it's easy to find the area of that upper triangle..
 

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  • #4
OK - your answer in post #1 looks fine.
 

FAQ: Calculating the Area of a Kite in a Figure

How do you find the area of a kite in a figure?

To find the area of a kite in a figure, you can use the formula A = (1/2) x d1 x d2, where d1 and d2 are the lengths of the diagonals of the kite. This formula works for any type of kite, including those with unequal sides.

Can you use the regular formula for finding area (length x width) for a kite?

No, the regular formula for finding area (length x width) only works for rectangles and other quadrilaterals with two sets of parallel sides. Kites do not have parallel sides, so the regular formula will not give an accurate result.

Are there any other formulas for finding the area of a kite?

Yes, there is another formula for finding the area of a kite if you know the length of one of its sides and the length of the perpendicular height from that side. The formula is A = (1/2) x side x height.

What if the kite is not a perfect shape, can you still use these formulas?

Yes, these formulas work for any type of kite, regardless of its shape or whether the sides are equal or not. As long as you have the necessary measurements, you can use these formulas to find the area of any kite in a figure.

Can you use these formulas for finding the area of a kite on a coordinate plane?

Yes, you can use these formulas to find the area of a kite on a coordinate plane. You will need to know the coordinates of the vertices of the kite in order to find the length of the diagonals or the perpendicular height. Then, you can plug those values into the formula to calculate the area.

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