### Home > CCA > Chapter 5 > Lesson 5.3.1 > Problem5-89

5-89.

Find the missing areas and dimensions for each generic rectangle below. Then write each area as a sum and as a product.

1.  Generic rectangle  left edge top  $4x$ interior top left$16x^2$ interior top right blank left edge bottom blank interior bottom left blank interior bottom right $1$
• $\left(4x + 1\right)\left(4x + 1\right) = 16x^{2} + 8x +1$

1.  Generic rectangle interior top left$10y$ interior top right blank interior bottom left blank interior bottom right$-12x$ bottom edge left$2y$ bottom edge right$-3$
• What must be multiplied by $2y$ to get $10y$? Put that expression where the blue circle is.

•  Generic rectangle left edge top blue circle$\ \enclose{circle}[mathcolor="blue"]{{ \ }}$ interior top left$10y$ interior top right blank left edge bottom interior bottom left blank interior bottom right$-12x$ bottom edge left$2y$ bottom edge right$-3$
• What must be multiplied by $−3$ to get $−12x$? Put that expression where the blue circle is.

•  Generic rectangle left edge top blank interior top left$10y$ interior top right blank left edge bottom blue circle$\ \enclose{circle}[mathcolor="blue"]{{ \ }}$ interior bottom left blank interior bottom right$-12x$ bottom edge left$2y$ bottom edge right$-3$