Respuesta :

Rectangle:

P = 2(L + W)

51.6 = 2 (L + 9.9)

L + 9.9 = 51.6 / 2

L + 9.9 = 25.8

L = 15.9


Answer

The length of the base = 15.9 feet

iCarl
[tex]\sf Hello![/tex]

[tex]\sf Let\: the \:length = l[/tex]

• [tex]\sf Width, \:w = 9.9 ft[/tex]
• [tex]\sf Perimeter = 51.6 ft[/tex]

[tex]\sf Then,[/tex]

[tex]\sf 2(l + w)[/tex] = [tex]\sf Perimeter \:of \:the \:rectangle[/tex]

⇒ [tex]\sf 2(l + 9.9) = \sf 51.6[/tex]

⇒ [tex]\sf 2l + 19.8 = \sf 51.6[/tex]

⇒ [tex]\sf 2l = 51.6 - 19.8[/tex]

⇒ [tex]\sf 2l = 31.8[/tex]

⇒ [tex]\sf l = \dfrac{\sf 31.8}{\sf 2}[/tex]

⇒ [tex]\boxed{\sf l = 15.9 \:ft}[/tex]

~ [tex]\sf iCarl[/tex]