Calculating the Area of a Kite in a Figure

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Homework Help Overview

The problem involves calculating the area of a kite using the lengths of its supporting rods and sides. The supporting rods are perpendicular, and the dimensions provided are in centimeters, with the final area required in square meters.

Discussion Character

  • Exploratory, Assumption checking

Approaches and Questions Raised

  • Participants discuss dividing the kite into two triangles to calculate the area. Questions arise regarding the heights used in the area calculations, specifically the values of 0.3 m and 0.75 m for the altitudes of the triangles.

Discussion Status

The discussion includes attempts to clarify the reasoning behind the chosen heights for the triangles. Some participants express uncertainty about the source of these values, while others affirm the calculations presented in earlier posts.

Contextual Notes

There is a focus on verifying the assumptions made regarding the heights of the triangles, and the discussion reflects an ongoing exploration of the problem without reaching a definitive conclusion.

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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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  • kite.JPEG
    kite.JPEG
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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
 
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..
 

Attachments

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

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