Question

comparing areas
the trapezoid and kite have been broken for you.
the trapezoid has an area of (square mathrm{m}^{2}).
the kite has an area of (square mathrm{m}^{2}).
the area of the trapezoid is (square) the area of the kite.

Explanation:

Step1: Calculate the area of the trapezoid

The formula for the area of a trapezoid is \(A=\frac{(a + b)h}{2}\), where \(a = 6m\), \(b=2m\), and \(h = 5m\).

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Step2: Calculate the area of the kite

The formula for the area of a kite is \(A=\frac{d_1d_2}{2}\), where \(d_1 = 6m\) and \(d_2=7m\).

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Step3: Compare the two areas

Since \(20<21\), the area of the trapezoid is less than the area of the kite.

Answer:

The trapezoid has an area of \(20\) \(m^{2}\).
The kite has an area of \(21\) \(m^{2}\).
The area of the trapezoid is less than the area of the kite.