How can (2x+y)(y+3) be drawn as a rectangle? The Length= (2x+y) The width= (y+3) Area =L x W

Question

asked Mar 26, 2023 185k views

1 Answer

MrRolling · Answer 1 · 2023-04-01T02:41:27+0000

(2x+y)(y+3) drawn as a rectangle

Length= (2x+y)

width= (y+3)

where a is a value that depends on x and y

Solution)

Apply FOIL method

$\mleft(a+b\mright)\mleft(c+d\mright)=ac+ad+bc+bd$
$\mleft(2x+y\mright)\mleft(y+3\mright)=2xy+2x\cdot\: 3+yy+y\cdot\: 3$

then, the area is

we can draw this the following way