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Area of special quadrilaterals
Area formulas for parallelograms, trapeziums, rhombuses and kites, and area unit conversions including hectares.
Formulas
$x$ and $y$ are the diagonals.
A trapezium has parallel sides $6$ m and $10$ m and height $5$ m. Find its area.
A kite has diagonals $14$ cm and $9$ cm. Find its area.
Area units
$1$ cm² $= 100$ mm², $\;1$ m² $= 10\,000$ cm², $\;1$ ha $= 10\,000$ m², $\;1$ km² $= 100$ ha.
Trapezium: parallel sides $6$ m and $10$ m, height $5$ m. Area?
$\tfrac{1}{2} \times 16 \times 5$.
Kite with diagonals $14$ cm and $9$ cm. Area?
$\tfrac{1}{2} \times 126$.
Parallelogram with base $8$ and height $6$. Area?
$8 \times 6$.
Rhombus with diagonals $6$ and $8$. Area?
$\tfrac{1}{2} \times 48$.
Convert $35\,000$ m² to hectares.
$\div 10\,000$.
A trapezium has area $45$ cm², parallel sides $7$ and $8$. Find its height.
$\tfrac{1}{2} \times 15 \times h = 45$.
Convert $5$ m² to cm².
$\times 10\,000$.
A kite has area $40$ m² and one diagonal $8$ m. Find the other diagonal.
$\tfrac{1}{2} \times 8 \times y = 40$.
New numbers every time. Keep going until you get five in a row.