Question

Question #7d434

Answer 1

`15" inches"`

Explanation:

The perimeter ( P) of a rectangle in terms of its height ( h) and width ( w) is.

`color(red)(bar(ul(|color(white)(2/2)color(black)(P=2h+2w)color(white)(2/2)|)))`

`"here "P=54" and "h=12`

`rArr54=(2xx12)+2w`

`rArr54=24+2w`

subtract 24 from both sides of the equation.

`54-24=cancel(24)cancel(-24)+2w`

`rArr2w=30`

divide both sides by 2

`(cancel(2) w)/cancel(2)=30/2`

`rArrw=15`

`rArr"the width of the frame "=15" inches"`

Answer 2

`width=15` inches

Explanation:

Perimeter`=2*Width`+2*Length`=54` inches

Let the height = Width

`:.2W+2(12)=54`

`:.2W+24=54`

`:.2W=54-24`

`:.2W=30`

`:.W=30/2`

`:.W=15` inches