In quadrilateral ABCD, the diagonal BD measures 70 cm 70 \text{ cm} 70 cm . The perpendiculars from vertices A and C to diagonal BD are A L = 18 cm AL...

Question

In quadrilateral ABCD, the diagonal BD measures 70 cm70 \text{ cm}. The perpendiculars from vertices A and C to diagonal BD are AL=18 cmAL = 18 \text{ cm} and CM=20 cmCM = 20 \text{ cm} respectively. Calculate the area of quadrilateral ABCD using the formula:

Area=12×Diagonal×(Sum of Perpendiculars)\text{Area} = \frac{1}{2} \times \text{Diagonal} \times (\text{Sum of Perpendiculars})

Options

A.

1320 cm21320 \text{ cm}^2

B.

1310 cm21310 \text{ cm}^2

C.

1330 cm21330 \text{ cm}^2

D.

1300 cm21300 \text{ cm}^2

quadrilateralareaperpendicularmensurationgeometry

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