06.08.2020

A poster has a rectangular printed area 100 cm by 140 cm and a blank strip of uniform width around the edges. The perimeter of the poster is 1 2 3 times the perimeter of the printed area. What is the width of the blank strip

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24.06.2023, solved by verified expert
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90 cm

Step-by-step explanation:

Given that :

Perimeter of a rectangle = 2(Length + Width)

Perimeter of print area = 2(100 + 140) = 480cm

Perimeter of entire poster :

Let uniform width of blank strip = x

x on each of the 4 sides side ;

2(2x + 100 + 2x + 140)

2(4x + 240)

8x + 480

Perimeter of poster = 1 2/3 perimeter of print area

8x + 480 = 5/2(480)

8x + 480 = 1200

8x = 1200 - 480

8x = 720

x =. 720 / 8

x = 90 cm

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Mathematics
Step-by-step answer
P Answered by Master

The width of the blank strip is 30 cm.

Step-by-step explanation:

Let us assume the width of the blank strip  = x

According to the question:

The perimeter of the poster with the blank strip is:

P (1)  = 2(140 + 2x)   + 2 (100 + 2x)

or, P(1) =  8x +  480

Similarly, the perimeter of the printed area is:

P(2) = 2( length + width)

=  2 (140 + 100) = 2 x (240) = 480 cm

or, P(2) = 480 cm

Now,as we know: Perimeter  of poster  =  1\frac{2}{3} ( Perimeter of Printer area)

or, P(1) = 1\frac{2}{3} P(2)

or, 8x  + 480 = 1\frac{2}{3} \times 480

or, 8x  = 720 - 480 =  240

or, x  = 240/8 = 30

or, x  = 30 cm

Hence, the width of the blank strip id 30 cm.

Mathematics
Step-by-step answer
P Answered by PhD

90 cm

Step-by-step explanation:

Given that :

Perimeter of a rectangle = 2(Length + Width)

Perimeter of print area = 2(100 + 140) = 480cm

Perimeter of entire poster :

Let uniform width of blank strip = x

x on each of the 4 sides side ;

2(2x + 100 + 2x + 140)

2(4x + 240)

8x + 480

Perimeter of poster = 1 2/3 perimeter of print area

8x + 480 = 5/2(480)

8x + 480 = 1200

8x = 1200 - 480

8x = 720

x =. 720 / 8

x = 90 cm

Mathematics
Step-by-step answer
P Answered by PhD

Cost of 7 gallons=$24.50

Cost of 1 gallon=24.50/7=3.5

Cost of 15 gallons=15*3.5=52.5

Cost of 15 gallons will be $52.5

Mathematics
Step-by-step answer
P Answered by PhD

y=2x+15

where y=Value of coin

x=Age in years

Value of coin after 19 years=2*19+15

=$53

Therefore, Value after 19 years=$53

Mathematics
Step-by-step answer
P Answered by PhD

F=ma

where F=force

m=mass

a=acceleration

Here,

F=4300

a=3.3m/s2

m=F/a

    =4300/3.3

    =1303.03kg

Approximately it is aqual to 1300kg

Mathematics
Step-by-step answer
P Answered by PhD

The answer is in the image 

The answer is in the image 
Mathematics
Step-by-step answer
P Answered by PhD

Here,

tip=18%of $32

tip=(18/100)*32

=0.18*32

=$5.76

Total payment=32+5.76=$37.76

Mathematics
Step-by-step answer
P Answered by PhD

The wood before starting =12 feet

Left wood=6 feet

Wood used till now=12-6=6 feet

Picture frame built till now= 6/(3/4)

=8 pieces

Therefore, till now 8 pieces have been made.

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