Question

A rectangle has a perimeter of 51.6 feet and a height of 9.9 feet. What is the length of the base?

Answer 1

$\sf Hello!$

$\sf Let\: the \:length = l$

• $\sf Width, \:w = 9.9 ft$
• $\sf Perimeter = 51.6 ft$

$\sf Then,$

$\sf 2(l + w)$ = $\sf Perimeter \:of \:the \:rectangle$

⇒ $\sf 2(l + 9.9) = \sf 51.6$

⇒ $\sf 2l + 19.8 = \sf 51.6$

⇒ $\sf 2l = 51.6 - 19.8$

⇒ $\sf 2l = 31.8$

⇒ $\sf l = \dfrac{\sf 31.8}{\sf 2}$

⇒ $\boxed{\sf l = 15.9 \:ft}$

~ $\sf iCarl$

Answer 2

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