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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Faq

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

SI=(P*R*T)/100

P=2000

R=1.5

T=6

SI=(2000*1.5*6)/100

=(2000*9)/100

=180

Neil will earn interest of 180

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

For every 8 cars there are 7 trucks

Therefore,

Cars:Truck=8:7

Answer is B)8:7

Mathematics
Step-by-step answer
P Answered by PhD

The solution is in the following image

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

The answer is in the image 

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