English

The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______. - Mathematics

Advertisements
Advertisements

Question

The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then ______.

Options

  • Breadth > 20 cm

  • Length < 20 cm

  • Breadth x ≥ 20 cm

  • Length ≤ 20 cm

MCQ
Fill in the Blanks

Solution

The length of a rectangle is three times the breadth. If the minimum perimeter of the rectangle is 160 cm, then breadth x ≥ 20 cm.

Explanation:

Breadth x ≥ 20 cm is the correct choice. If x cm is the breadth, then 2(3x + x) ≥ 160 ⇒ x ≥ 20.

shaalaa.com
  Is there an error in this question or solution?
Chapter 6: Linear Inequalities - Solved Examples [Page 105]

APPEARS IN

NCERT Exemplar Mathematics [English] Class 11
Chapter 6 Linear Inequalities
Solved Examples | Q 11 | Page 105

RELATED QUESTIONS

Solve: 12x < 50, when x ∈ N 


Solve: −4x > 30, when  x ∈ R 


Solve: −4x > 30, when x ∈ Z 


Solve: 4x − 2 < 8, when x ∈ Z 


3x − 7 > x + 1 


−(x − 3) + 4 < 5 − 2x


\[\frac{2x - 3}{3x - 7} > 0\] 


\[\frac{5x - 6}{x + 6} < 1\]


Solve  

\[\left| x + \frac{1}{3} \right| > \frac{8}{3}\] 


Solve  

\[\left| 4 - x \right| + 1 < 3\] 


Solve  \[\frac{\left| x - 2 \right|}{x - 2} > 0\] 


Solve 

\[\left| \frac{2x - 1}{x - 1} \right| > 2\] 


Mark the correct alternative in each of the following:
If \[\left| x + 2 \right|\]\[\leq\]9, then


Solve the inequality, 3x – 5 < x + 7, when x is a real number.


Solve `(x - 2)/(x + 5) > 2`.


The cost and revenue functions of a product are given by C(x) = 20x + 4000 and R(x) = 60x + 2000, respectively, where x is the number of items produced and sold. How many items must be sold to realise some profit? 


Solve for x, `(|x + 3| + x)/(x + 2) > 1`.


If `|x - 2|/(x - 2) ≥ 0`, then ______.


If |3x – 7| > 2, then x ______ `5/3` or x ______ 3.


Solve for x, the inequality given below.

`-5 ≤ (2 - 3x)/4 ≤ 9`


The water acidity in a pool is considerd normal when the average pH reading of three daily measurements is between 8.2 and 8.5. If the first two pH readings are 8.48 and 8.35, find the range of pH value for the third reading that will result in the acidity level being normal.


The longest side of a triangle is twice the shortest side and the third side is 2cm longer than the shortest side. If the perimeter of the triangle is more than 166 cm then find the minimum length of the shortest side.


If |x + 2| ≤ 9, then ______.


If `(-3)/4 x ≤ – 3`, then x ______ 4.


If `2/(x + 2) > 0`, then x  ______ –2.


If x > – 5, then 4x ______ –20.


If x > y and z < 0, then – xz ______ – yz.


Share
Notifications

Englishहिंदीमराठी


      Forgot password?
Use app×