Question #7d434

2 Answers
Mar 11, 2017

#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"#

Mar 11, 2017

#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