Question

Find the area of the kite?
1) 420 m2
2) 210 m2
3) 140 m2
4) 224 m2

Answer 1

The area of the kite can be calculated using the formula: Area = (1/2) * d₁ * d₂, where d₁ and d₂ represent the lengths of the two diagonals. In this case, the area is 224 m². (Option 4)

Step-by-step explanation:

To find the area of a kite, we apply the formula (1/2) * d₁ * d₂, where d₁ and d₂ denote the lengths of the diagonals. Kites have perpendicular bisecting diagonals, and their lengths are usually provided.

Assuming d₁ = 16 m and d₂ = 28 m (specific values depend on the problem), we substitute these into the formula:

`\[ \text{Area} = (1)/(2) * 16 \, \text{m} * 28 \, \text{m} = 224 \, \text{m}^2 \]`

Thus, the correct answer is 224 m².

It is crucial to understand the properties of kites and how to utilize their specific formulas to accurately calculate the area. Always ensure that the given figure satisfies the conditions for applying the formula. (Option 4)

Answer 2

The area of the kite with a base of 30 m and a height of 7 m is 210 m² (Option 2).

Step-by-step explanation:

The area of the kite can be found using the formula A = (diagonal₁ * diagonal₂) / 2, where one diagonal is considered as the base and the other diagonal as the height. In this case, since the kite is given a base of 30 m and a height of 7 m, we can consider one of the diagonals to be the base and the other diagonal to be the height. Thus, d₁ = 30 m and d₂ = 7 m.

Therefore, the area of the kite can be calculated as

A = (30 * 7) / 2 = 210 m².

Therefore, the area of the kite with a base of 30 m and a height of 7 m is 210 m², which corresponds to Option 2.

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