A rectangular phone is 3 cm longer than it is wide. The photo is surrounded with a wooden frame that is 2cm wide on all sides. The area of the frame is 52 square centimeters. Find the dimensions of the photo.

the width is 3.9

the length is 3+w= 3+3.9 =6.9

Step-by-step explanation:

A photo is rectangular with 3cm longer than its width

meaning length is 3+w(3  plus the dimension of the width)

area = length x breadth = (3+w)w=3w+w²=w²+3w

A frame housing the photo is 2cm wide on all sides

meaning the length is 3+w+2

the width is w+2

area of the frame is 52cm²

area of frame = length x breadth

area of frame=  (3+w+2) *  (w+2)

area of frame = (5+w)x(w+2) =w(5+w)+2(5+w)= 5w+w²+10+2w

area of frame= 5w+2w+w²+10= 7w +w²+10=w²+7w+10

area of frame= w²+7w+10

52 = w²+7w+10

w²+7w+10-52=0

w²+7w-42=0

using quadratic formula

x=-b±√b2-4ac/2a

b= 7

c=-42

a=1

x= -7±√7²-4(1)(-42)/2(1) = -7±√49+168/2

x=-7±√217/2= -7±14.7309198627/2

x= -7+14.73/2   x= -7-14.73/2

x=7.73/2       -21.73/2

x= 3.865, -10.865

since a dimension can not be negative e neglect the negative sign

x=3.9

the width is 3.9

the length is 3+w= 3+3.9 =6.9

whole numbers.

step-by-step explanation:

we are given the average monthly rainfall (in millimeters) model r(m) for the years 1900-2009 as a function of the month number m.

as we can see m is taken for the number of months for years 1900-2009.

we know that number of months can't be a negative number or decimal number or a fraction.

so, the number of months could be only positive whole numbers.

therefore, whole numbers is more appropriate for the domain of r.

answer: im sorry i dont get it

step-by-step explanation: