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xxMikexx [17]
2 years ago
9

HELP PLEASE What is the area of the kite below?

Mathematics
2 answers:
LekaFEV [45]2 years ago
8 0

Answer: A = 33 in²

Step-by-step explanation:

<u>Given information:</u>

Longer side = 7 in

Shorter side = 4 in

Shorter Hypotenuse = 5 in

<u>Given formula:</u>

A = (1/2) × (d₁) × (d₂)

  • A = area
  • d₁ = The longer line (horizontal)
  • d₂ = The shorter line (vertical)

Please refer to the attachment below for a graphical understanding

<u>Determine the length of the shorter side (vertical) through the Pythagorean theorem</u>

a² + b² = c² <em>(Pythagorean theorem)</em>

(4)² + b² = (5)² <em>(Substitute values into the equation)</em>

16 + b² = 25

b² = 25 - 16

b² = 9

b = 3  or b = -3 (rej)

<u>Substitute values into the given formula</u>

A = (1/2) × d₁ × d₂

A = (1/2) × (7 + 4) × (3 + 3)

<u>Simplify values in the parenthesis</u>

A = (1/2) × 11 × 6

<u>Simplify by multiplication</u>

A = (11/2) × 6

\Large\boxed{A=33}

Hope this helps!! :)

Please let me know if you have any questions

Kryger [21]2 years ago
6 0

Answer:

Area = 33 inches squared

Step-by-step explanation:

The formula for the area of a kite is:

Area = ½ × (d)1 × (d)2

To find the first diagonal (d1):

d1 = 7 in + 4 in = 11 in

To find the second diagonal (d2):

The triangles on the right of the kite must be 3 4 5 triangle since it is a right triangle with a hypotenuse of 5 and a side of 4, we know half of a diagonal would be 3 inches.

d2 = 3 in + 3 in = 6 in

Now we can plug the diagonals into the area formula.

Area = ½ × 11 × 6 = 33 inches squared

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