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The area of a kite is 51.68 square inches. One diagonal measures 15.2 inches. What is the measure of the other diagonal?

3.4 inches
6.8 inches
13.6 inches
15.2 inches

Respuesta :

Answer:

6.8

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Step-by-step explanation:

we know that The area of a Kite is equal to where D1 and D2 are the diagonals of the kite In this problem we have Substitute in the formula and solve for D2 therefore the answer is the option B  

The measure of the other diagonal is 6.8 inches. The correct option is the second option 6.8 inches

Areas of plane shapes

From the question, we are to determine the measure of the other diagonal

If a kite has diagonals p and q, then the area of the kite is given as

[tex]A =\frac{pq}{2}[/tex]

Where A is the area of the kite

From the given information,

One of diagonal measures 15.2 inches

Let p = 15.2 inches

and

A = 51.68 square inches

Putting the parameters into the formula, we get

[tex]51.68 = \frac{15.2 \times q}{2}[/tex]

Then,

15.2 ×q = 51.68 × 2

15.2q = 103.36

q = 103.36 ÷ 15.2

q = 6.8 inches

Hence, the measure of the other diagonal is 6.8 inches. The correct option is the second option 6.8 inches

Learn more on Areas of plane shapes here: https://brainly.com/question/10744696