Abook is three times as long as it is wide. find the length and width of the book in inches if it's area is numerically 128 more than it's perimeter.

Step-by-step explanation:

let width=w

length=l

l=3w

P=2(l+w)=2(3w+w)=8w

A=l*w=3w*w=3w²

3w²=8w+128

3w²-8w-128=0

3w²-24w+16w-128=0

3w(w-8)+16(w-8)=0

(w-8)(3w+16)=0

w=8,-16/3 (rejected)

width=8

length=8*3=24

the width is 8 inches

The length is 24 inches

Step-by-step explanation:

Let L represent the length of the book.

Let W represent the width of the book.

A book is three times as long as it is wide. This means that

L = 3W

if it's area is numerically 128 more than it's perimeter. It means that

LW - 128 = 2(L + W) - - -- - - - - - 1

Substituting L = 3W into equation 1, it becomes

3W × W - 128 = 2(3W + W)

3W^2 - 128 = 8W

3W^2 - 8W - 128 = 0

3W^2 + 16W - 24W - 128 = 0

W(3W + 16) - 8(3W + 16) = 0

(W - 8)(3W + 16) = 0

W - 8 = 0 or 3W + 16 = 0

W = 8 or W = - 16/3

Since the width of the book cannot be negative, then W = 8 inches

Substituting W = 8 into L = 3W, it becomes

L = 3 × 8 = 24 inches

d

step-by-step explanation:

the 2000 florida legislature amended section 322.05, florida statutes, changing the requirements to obtain a class e license for a driver under the age of 18 holding a learner's license. the following requirements must be met in order to obtain a regular class e license if a learner's license is issued on or after october 1, 2000:

must hold a learner's license for at least 12 months or until the 18th birthday.

must have no convictions 12 months from the issue date of the learner's license.

may have one traffic conviction within 12 months from the issue date of the learner's license if adjudication is withheld.

a parent, legal guardian, or responsible adult over 21 years old must certify that the driver has 50 hours driving experience, including 10 hours of night time driving.