CPM Homework Help : INT2 Problem 2-79

Copy each of the area models below and fill in the missing dimensions and areas. Then write the entire area as a product equivalent to the area as a sum.

generic rectangle interior left $2xy$
interior right $8y$
bottom right edge $x$
bottom right edge is blank
Hint (a):
Try to find a way to factor what is inside of the boxes, then it is possible to write the area as a product of its sum.
Answer (a):
$2xy+8y=2y(x+4)$

generic rectangle interior top left $x^2$
interior top right is blank
interior bottom left $8x$
interior bottom right is blank
bottom edge left is blank
bottom edge right $+5$
Answer (b):
$(x+8)(x+5)=x^2+13x+40$

generic rectangle left edge top is blank

interior top left is blank

interior top middle $-3xy$

interior top right is blank

left edge bottom $-4$

interior bottom left $-8z$

interior bottom middle is blank

interior bottom right $-20$

bottom edge left is blank

bottom edge middle $-3y$

bottom edge right is blank

Answer (c):

$(x−4)(2z−3y+5)=2xz-3xy+5x-$
$8z+12y−20$ .

generic rectangle left edge right $x$
interior top right $x^2$
interior top right is blank
left edge bottom is blank
interior bottom left is blank
interior bottom right $6$
Answer (d):
Multiple answers are possible.