5. In the diagram at the right, the length of alsquaredis (3x + 7) units. The dimensions of the cut-out rectangle
are x by (2x + 5) units. Which choice expresses the area of the shaded regions, in square units?
("Complexity Level 3)
It's a square, so both the
length and width are
3x + 7.
A 7x2+37x +49
(2x + 5)
To find the area of the
B. 11x?+47x +49
shaded
find the
region,
3x +7
C. 7x2 + 47x +49
area of the inside
D. 7x? + 5x +49
rectangle and subtract
from the area of the
Area
Area
big square.
shaded
Lithe
3x +7
3x 1
3х
2x
=(9x<+42x+49) - Tzx²75x)
7 Yax/99
= 9x +42x+49 - 2x+-5
Area
Shaded = 7x2 +37x +491
Arena 9x +42x +49
= Area
=(3x+7)(3x+1) - €2x+3)(x)
9x3x
5