CPM Homework Help : INT1 Problem 4-76

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4-76.

For each of the following area models, determine the dimensions (length and width) and write the area as a product and as a sum.

Generic rectangle
top edge left blank
top edge right $-4$
left edge $3y$
interior left $3y^2$
interior right blank

Hint (a):
Find the length and width of each small rectangle.
Answer (a):
Generic rectangle
top edge left $y$
top edge right $-4$
left edge $3y$
interior left $3y^2$
interior right $-12y$
$3y(y−4)=3y^2−12y$

Generic rectangle
top edge left $y$
top edge right blank
left edge top $3y$
interior left top blank
interior top right $-12y$
left edge bottom blank
interior left bottom $5y$
interior right bottom blank

Hint (b):

Follow the steps in part (a).

Answer (b):

Generic rectangle

top edge left $y$ $y$

top edge right $-4$

left edge top $3y$

interior left top $3y^2$

interior top right $-12y$

left edge bottom $5$

interior left bottom $5y$

interior right bottom $-20$

$(3y+5)(y−4)=3y^2−7y−20$

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