Question

How do you work the picture out?

Answer 1

24cm²

Explanation:

Perimeter of rectangle ABCF = 20 cm

One of the sides AB = 6 cm (AB)(Let it be L)

other side of Rectangle=B.

Perimeter of Rectangle = 2 (Length + width)

20 = 2(L+W) = 2(6 + W)

`(20)/(2)`=6+B

10=6+B

B = 10-6

B = 4 cm

Width of Rectangle, W = 4 cm (BC)

Length of side of trapezium, CD = BD - BC = 9 - 4 = 5 cm

And length of EF = 3 cm

Area of Trapezium =
`(1)/(2)`×(CD+EF)×CF

`(1)/(2)`×(5+3)×6

`(8)/(2)`×6

4×6=24