Question

How do you work the picture out?

Answer 1

Answer:

24cm²

Step-by-step 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)

$\frac{20}{2}$=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 = $\frac{1}{2}$×(CD+EF)×CF

$\frac{1}{2}$×(5+3)×6

$\frac{8}{2}$×6

4×6=24