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2 years ago

Marks books has an area of 48 in.². The perimeter of the book is 52 inches. what are the dimensions of the book

Mathematics

1 answer:

quester [9]2 years ago

6 0

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 - $w^{2}$ = 48

$w^{2} - 26 w + 48 = 0$

(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.

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