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The area of a kite is 116.25 square feet. One diagonal measures 18.6 feet. What is the measure of the other diagonal?

Answer 1

Autumn Armstrong

#"12.5 ft"#

The area of a kite can be found through the equation

#A=(d_1d_2)/2#

when #d_1,d_2# are the kite's diagonals.

Thus, we can create the equation

#116.25=(18.6xxd_2)/2#

And solve for the unknown diagonal by multiplying both sides by #2/18.6#.

#12.5=d_2#

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Answer 2

Sadie Adams

To find the measure of the other diagonal of the kite, we can use the formula for the area of a kite, which states that the area (A) of a kite is equal to half the product of its diagonals. Given that the area (A) is 116.25 square feet and one diagonal measures 18.6 feet, we can rearrange the formula to solve for the length of the other diagonal:

[ A = \frac{1}{2} \times d_1 \times d_2 ]

where (d_1) and (d_2) are the lengths of the diagonals.

Substituting the given values:

[ 116.25 = \frac{1}{2} \times 18.6 \times d_2 ]

Now, solve for (d_2):

[ d_2 = \frac{2 \times 116.25}{18.6} ]

[ d_2 = \frac{232.5}{18.6} ]

[ d_2 \approx 12.5 \text{ feet} ]

So, the measure of the other diagonal of the kite is approximately 12.5 feet.

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