Answer:
dimensions of the book are 2 in. by 24 in.
Step-by-step explanation:
I assume the book is a rectangle
Let w = the width
l = the length
A = lw = 48 P = 2w + 2l = 52
w + l = 26
l = 26 - w
w(26-w) =48
26w - [tex]w^{2}[/tex] = 48
[tex]w^{2} - 26 w + 48 = 0[/tex]
(w-2)(w -24) = 0
w = 2 or w = 24
if w = 2, then l = 26 - 2 = 24
if w = 24, then l = 26 - 24 = 2
So, the dimensions of the book are 2 in. by 24 in.
