Answer:
The area of the given figure is
.
Explanation:
To find out the area we should have to redraw the figure having nomenclature ABCDE and join BD. Thus we have a rectangle ABDE and a triangle BCD.
The new figure is in the attachment.
Given,
Length of AE = 7 cm
Length of DE = 8 cm
Length of CF = 11 cm
Solution,
Area of rectangle ABDE =

Area of ABDE =

Now for triangle BCD,
Length of BD = length of AE = 7 cm
Length of GF = Length of DE = 8 cm
∴ Length of CG = Length of CF-Length of GF =

Area of triangle BCD =

Area of BCD =

Area of ABCDE = Area of ABDE + Area of BCD =

Thus the area of the given figure is
.