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 = (\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