Answer:
16.6
Step-by-step explanation:
The rectangle has an area of 105. It's width is 7.
1: Find the length
[tex]\frac{area}{width}[/tex]=length
[tex]\frac{105}{7}[/tex]= 15
Length=15
2: Pythagorean theorem
[tex]a^{2} +b^2=c^2[/tex]
[tex]7^{2}[/tex]+[tex]15^2=c^2[/tex]
49+225=[tex]c^2[/tex]
275=[tex]c^2[/tex]
[tex]\sqrt{275}[/tex] = [tex]\sqrt{c^2\\}[/tex]
16.55≈c
Rounded to nearest tenth
16.6