Answer:
length = [tex]4\frac{3}{4}[/tex] cm
Step-by-step explanation:
Perimeter is the sum of the length of all of the sides of a figure. A rectangle has 2 pairs of sides with equal length, which is a 4 sides. Two of those sides have the measure of the width and the other 2 sides have the measure of the length. Since we know the width is [tex]1\frac{3}{4}[/tex], we can multiply that value by 2 (since 2 of the sides are [tex]1\frac{3}{4}[/tex] long) and subtract it from the perimeter, 13:
[tex]1\frac{3}{4} * 2 = 3\frac{1}{2}[/tex]
[tex]13 - 3\frac{1}{2}= 9\frac{1}{2}[/tex]
The sum of the 2 sides that have the measure of the length is [tex]9\frac{1}{2}[/tex] cm. To find the length, divide the measure by amount of sides:
[tex]9\frac{1}{2}[/tex] ÷ 2 = [tex]4\frac{3}{4}[/tex]
The length is [tex]4\frac{3}{4}[/tex] cm.
