# The area of a rectangular picture frame is 30 1/3 square inches. The length of the frame is 6 1/2 inches. What is the width of the frame?

Feb 15, 2018

$4 \frac{2}{3}$ inches

#### Explanation:

Area if rectangular =length x width

$30 \frac{1}{3} = 6 \frac{1}{2} \cdot w i \mathrm{dt} h$

$\frac{91}{3} = \frac{13}{2} \cdot w i \mathrm{dt} h$

$\frac{91}{3} \cdot \frac{2}{13} =$ width

$\frac{14}{3} = 4 \frac{2}{3} =$ width.

Feb 15, 2018

The width is $4 \frac{2}{3}$ inches.

#### Explanation:

The area of a rectangle is calculated from:

$A = l \times w$ but if you want the the width you have to change the subject to get:

$w = A \div l$

$w = 30 \frac{1}{3} \div 6 \frac{1}{2} \text{ } \leftarrow$ change to improper fractions.

$w = \frac{91}{3} \div \frac{13}{2} \text{ } \leftarrow$ multiply by the reciprocal

w = cancel91^7/3 xx 2/cancel13" :larr cancel to simplify. $\left(91 \div 13 = 7\right)$

$w = \frac{14}{3}$

$w = 4 \frac{2}{3}$ inches