Question

HELP ASAP

Refer to the diagram at the right. Give the area of each
region in standard form.
a. Shaded rectangle
b. Larger rectangle
c. Unshaded region

Answer 1

Explanation:

(a).
`A_(1)` = x ( 2x + 1 ) = 2x² + x

(b).
`A_(2)` = 2( 2x + 1 )( 5x + 3 ) = 20x² + 22x + 6

(c).
`A_(3)` = 20x² + 22x + 6 - ( 2x² + x ) =

( 20x² - 2x² ) + ( 22x - x ) + 6 =

18x² + 21x + 6