Multiplying the length and width of each rectangle, we get the following.
Rectangle
l
w
l w
A
a
7
11
( 7)( 11)
77
b
7
8
( 7)( 8)
56
c
3
11
( 3)( 11)
33
d
3
8
( 3)( 8)
24
The areas of the rectangles are 77, 56, 33, and 24 square units, respectively. To find the area of the whole rectangle, we have to add all of these.
77+56+33+24=190
The whole area is 190 square units.
Multiplying the length and width of each rectangle, we get the following.
Rectangle
l
w
l w
A
a
11x
3x
( 11x)( 3x)
33x^2
b
11x
-4
( 11x)( -4)
-44x
c
-2
3x
( -2)( 3x)
-6x
d
-2
-4
( -2)( -4)
8
The areas of the rectangles are 33x^2, -44x, -6x, and 8 square units, respectively. To find the area of the whole rectangle, we have to add all of these.
33x^2+(-44x)+(-6x)+8 = 33x^2-50x+8
