Question

Please help need to get this done​

Answer 1

B

Explanation:

ABCD is a trapezium with area (A) calculated as

A =
`(1)/(2)` AD(AB + CD)

Calculate AD using right triangle ABD

Area of ΔABD = 0.5 × AD × AB = 280, that is

0.5 × AD × 16 = 280

8AD = 280 ( divide both sides by 8 )

AD = 35

Thus the area of trapezium ABCD is

A =
`(1)/(2)` × 35(16 + 20)

=
`(1)/(2)` × 35 × 36 = 18 × 35 = 630 → B