1800-150-456-789
FlagBACK
Flag Algebra> A poster is to contain 50cm^2of matter wi...
question mark

A poster is to contain 50cm^2 of matter with borders of 4 cm at top and bottom and of 2cm on each side. Find the dimensions if the total area of the poster is minimum.

Manvendra Singh chahar , 11 Years ago
Grade Upto college level
anser 1 Answers
Jitender Singh

Last Activity: 10 Years ago

Ans:
Let the length & width of the matter area of poster to be ‘l’ & ‘b’
Given:
lb = 50 cm^{2}
Area of poster:
A = (l+8)(b+4)
A = 82 + 4l + 8b
A = 82 + 4l + \frac{400}{l}
\frac{\partial A}{\partial l} = 4 - \frac{400}{l^{2}} = 0
l = 25
\Rightarrow b= 2
Dimensions:
Length = l + 8 = 33 cm
Width = b + 4 = 6 cm
Thanks & Regards
Jitender Singh
IIT Delhi
askIITians Faculty

Provide a better Answer & Earn Cool Goodies

Enter text here...
star
LIVE ONLINE CLASSES

Prepraring for the competition made easy just by live online class.

tv

Full Live Access

material

Study Material

removal

Live Doubts Solving

assignment

Daily Class Assignments


Ask a Doubt

Get your questions answered by the expert for free

Enter text here...

Other Related Questions on algebra

question mark
What is a binomial expression?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
Can we divide two vectors? If this is possible then how?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
How do you write “the product of 18 and q” as an algebraic expression?
algebra
1 Answer Available

Last Activity: 1 Year ago

question mark
दहावीच्या आय सी एस इ विद्यार्थ्यांनी पुढे काय करायला पाहिजे
algebra
0 Answer Available

Last Activity: 2 Years ago

question mark
Find the least number of square tiles by which the floor of a room of dimensions 16.58 m and 8.32 m can be covered completely. why HCF and not LCM as “least” keywor dis given?
algebra
1 Answer Available

Last Activity: 2 Years ago