gissel56
Answered

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Need answer ASAP!!
Find the area of the shaded region.

Need Answer ASAP Find The Area Of The Shaded Region class=

Sagot :

Leora03

Answer:

(5x² +7x -26) units²

Step-by-step explanation:

[tex]\boxed{area \: of \: rectangle = length \times breadth}[/tex]

Area of shaded region

= Area of larger rectangle -area of smaller rectangle

Area of larger rectangle

= (3x -4)(2x +2)

= 3x(2x) +3x(2) -4(2x) -4(2) (Expand)

= 6x² +6x -8x -8

= 6x² -2x -8

Area of smaller rectangle

= (x -6)(x -3)

= x² -3x -6x +18 (Expand)

= x² -9x +18

Area of shaded region

= 6x² -2x -8 -(x² -9x +18)

= 6x² -2x -8 -x² +9x -18

= 5x² +7x -26

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