Question

A rectangle playground is 15 feet longer than is wide. A foot fence is placed around the playground.

Which equation below can be used to find the shorter side of the playground?

SELECT ALL THAT APPLY

Answer 1

The correct equation is C. 4x + 30 = 100 and A. 2x + 2(15 + x) = 100

`\boxed{\bold{Explanation}}`

Suppose the width is
`x` feet, while the length is
`x + 15` feet.

Remember that the perimeter of a rectangle is the sum of all the sides. The formula is:

\boxed{\boxed{P = 2(w + l)}}

Where:

• 
  `w` = width
• 
  `l` = long

We substitute the obtained data,

`⇝ \: 2(x \: + \: x \: + \: 15) \: = \: 100`

`⇝ \: 2(2x \: + \: 15) \: = \: 100`

`⇝ \: \boxed{4x \: + \: 30 \: = \: 100}`

Another way is,
`P = 2w + 2l`

`⇝ \boxed{2x \: + \: 2(15 \: + \: x) \: = \: 100}`