Diketahui ABCD adalah sebuah persegi panjang dengan AB =3 cm dan BC=2 cm. Jika BC=DQ dan DP=CQ tentukan luas daerah ABQP!

<p>Jawaban benar adalah 4 cm² &nbsp;&nbsp;</p><p>&nbsp;</p><p>Diket :&nbsp;</p><p>AB = 3 cm</p><p>BC = 2 cm</p><p>BC = DQ&nbsp;</p><p>DP = CQ</p><p>&nbsp;</p><p>Ditanya luas daerah ABQP</p><p>Panjang CQ = AB - DQ</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 3 cm - 2 cm</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= 1 cm</p><p>&nbsp;</p><p>Luas ABCD = 3 cm x 2 cm</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 6 cm²</p><p>&nbsp;</p><p>Luas BCQ + luas DPQ = (1/2 x alas x tinggi) + (1/2 x alas x tinggi)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;= (1/2 x 1 x 2) &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; + (1/2 x 1 x 2)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = &nbsp;1 cm² &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp;+ 1 cm²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 2 cm²</p><p>&nbsp;</p><p>Luas daerah ABQP = luas ABCD - (luas BCQ + DPQ)</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 6 cm² &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; - 2 cm²</p><p>&nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; &nbsp; = 4 cm²</p><p>&nbsp;</p><p>Jadi, luas ABPQ adalah 4 cm² &nbsp;&nbsp;</p>