How to find the area of a kite

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ACT Math › How to find the area of a kite

Questions 1 - 3

1

Find the area of a kite with diagonal lengths of and .

Explanation

Write the formula for the area of a kite.

$A= \frac{d1\cdot d2}{2}$

Plug in the given diagonals.

$A= \frac{(a+b)\cdot (2a-2b)}{2}$

Pull out a common factor of two in and simplify.

$A= \frac{(a+b)\cdot2(a-b)}{2}$

Use the FOIL method to simplify.

2

Find the area of a kite if one diagonal is long, and the other diagonal is long.

$10\sqrt2:cm^2$

$10\sqrt3:cm^2$

$3\sqrt{10}$

Explanation

The formula for the area of a kite is

$A=\frac{d_1\cdot d_2}{2}$

Plug in the values for each of the diagonals and solve.

$A = \frac{2\cdot 10}{2}=\frac{20}{2}=10:cm^2$

3

Find the area of a kite with the diagonal lengths of and .

Explanation

Write the formula to find the area of a kite. Substitute the diagonals and solve.

$A=\frac{d1 \cdot d2}{2} = \frac{2a \cdot 2b}{2} =2ab$

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