### Home > MC2 > Chapter 9 > Lesson 9.3.1 > Problem9-81

9-81.

Find the missing side lengths of each rectangle, (a) and (c) or square (b) and (d).

1.  width$x \text{ cm}$ length$100 \text{ cm}$ interior$\text{A} = 500 \text{ cm}^2$

To find the area of a rectangle, multiply the length
by the width.

$(100\text{ cm})(x\text{ cm})=500\text{ cm}^2$

Solve for $x$.

1.  width$y \text{ cm}$ interior$\text{A} = 64 \text{ cm}^2$ length$8 \text{ cm}$

Recall the properties of a square. All the side lengths must be equal.

Since one side is already given, you can conclude that the other side is also $8$ cm.

1.  width$5 \text{ cm}$ length$r \text{ cm}$ interior$\text{A} = 82 \text{ cm}^2$

See the help for part (a).

$16.4$ cm

1.  interior$\text{A} = 25 \text{ cm}^2$ length$w \text{ cm}$ width$5 \text{ cm}$

See the help for part (b).