The perimeter of a rectangular book is 48 inches. How do you express the length of the book as a function of the width?
1 Answer
May 28, 2016
Explanation:
Recall that the perimeter of a rectangle is given by,
#color(blue)(|bar(ul(color(white)(a/a)P=2(l+w)color(white)(a/a)|)))# where:
#P=# perimeter
#l=# length
#w=# width
Hence, to create an expression for the length, substitute
#P=2(l+w)#
#48=2(l+w)#
#48/2=l+w#
#l=24-w#
Replacing
#color(green)(|bar(ul(color(white)(a/a)color(black)(f(w)=-w+24)color(white)(a/a)|)))#