Question

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Marissa is painting her rectangular patio, with the exception of a bench that does not need to be painted:


rectangle with a length of x plus 20 and width of x plus 10 with a rectangle in the bottom right corner labeled bench that has a length of 6 and width of 2


Write an equation to determine the area, A, of the patio that will be painted.


A = (x + 20)(x + 10) + 12

A = (x + 20)(x + 10) − 12

A = (x + 26)(x + 12)

A = (x + 14)(x + 8)

Answer 1

B

Explanation:

Answer 2

Explanation:

rectangle with a length of x plus 20 and width of x plus 10

Length of rectangle is
`x+20`

width of the rectangle is
`x+10`

Area of the rectangle is length times width

Area of the rectangle =
`(x+20)(x+10)`

Area of the bench=
`6 \cdot 2= 12`

Area of the patio= Area of rectangle - area of bench

`A=(x+20)(x+10)-12`

Answer : option B

`A=(x+20)(x+10)-12`