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PSLE Foundation Mathematics

<p>In the figure, $ABCD$ is a kite. Its diagonals $AC$ and $BD$ have lengths $a$ cm and $b$ cm respectively. Find the area of $ABCD$ in terms of $a$ and $b$. Hence state a general formula for the area of a kite in terms of its diagonal lengths.</p>
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In the figure, $ABCD$ is a kite. Its diagonals $AC$ and $BD$ have lengths $a$ cm and $b$ cm respectively. Find the area of $ABCD$ in terms of $a$ and $b$. Hence state a general formula for the area of a kite in terms of its diagonal lengths.

Area of Rhombuses and Kites Using Diagonals

Perimeter and Area of Common Plane Figures

Perimeter and Area of Plane Figures

<p>In the figure below, $ABCD$ is a rhombus, where diagonals $AC$ and $BD$ are of lengths $a$ cm and $b$ cm, respectively. Find the area of $ABCD$ in terms of $a$ and $b$ .</p>
<div class="content-block"><figure class="question-figure aligncenter" style="text-align: center;"><img src="https://vocwkpgapvksartxhhor.supabase.co/storage/v1/object/sign/question-images/pasted/1767770411555-kp7a3ldpf3.png?token=eyJraWQiOiJiZTM3ZjNhZS05OWM4LTQ5ZGQtYjRiNS1iMTBhYmJhNjY5MWYiLCJhbGciOiJIUzI1NiJ9.eyJ1cmwiOiJxdWVzdGlvbi1pbWFnZXMvcGFzdGVkLzE3Njc3NzA0MTE1NTUta3A3YTNsZHBmMy5wbmciLCJzY29wZSI6ImRvd25sb2FkIiwiaWF0IjoxNzkzNTU2MzY4LCJleHAiOjE3OTM1NTY2Njh9.7_t_7DJ3f2RaLy9YVWhzAUUjjl4oicd5B1y4a_9KdVk" style="max-width: min(300px, 100%); height: auto; display: block;" class="aligncenter custom-width" /></figure></div>

In the figure below, $ABCD$ is a rhombus, where diagonals $AC$ and $BD$ are of lengths $a$ cm and $b$ cm, respectively. Find the area of $ABCD$ in terms of $a$ and $b$ .

Perimeter and Area of Parallelogram

<p>In the figure below, $ABCD$ is a rhombus such that&nbsp;$AO = 3$ cm, $BO = 4$ cm. Given that the perimeter of $ABCD$ is $20$ cm, find</p>
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<ol class="abc-list"><li><div class="list-item-content"><span class="list-item-text">the area of triangle $ABD$,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the perimeter of triangle $ABD$,</span></div></li><li><div class="list-item-content"><span class="list-item-text">the area of rhombus $ABCD$.</span></div></li></ol>

In the figure below, $ABCD$ is a rhombus such that $AO = 3$ cm, $BO = 4$ cm. Given that the perimeter of $ABCD$ is $20$ cm, find

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