Question:
If each side of a rectangle is increased by \(10\%\), then which of the following will represent the increased area of a rectangle?
If each side of a rectangle is increased by \(10\%\), then which of the following will represent the increased area of a rectangle?
Show Hint
If both dimensions of a rectangle increase by \(10\%\), area becomes \(1.1\times 1.1=1.21\), so area increases by \(21\%\).
Updated On: Jun 6, 2026
- \(28\%\)
- \(21\%\)
- \(22\%\)
- \(25\%\)
Show Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Concept:
Area of a rectangle is: \[ A=l\times b \] If both length and breadth are increased, the new area is found by multiplying the increased dimensions.
Step 1: Assume original length and breadth.
Let the original length be \(l\) and breadth be \(b\). Original area: \[ A=lb \]
Step 2: Increase each side by \(10\%\).
New length: \[ l+\frac{10}{100}l=1.1l \] New breadth: \[ b+\frac{10}{100}b=1.1b \]
Step 3: Find new area. \[ A'=1.1l\times 1.1b \] \[ A'=1.21lb \]
Step 4: Find percentage increase. \[ \text{Increase}=A'-A \] \[ =1.21lb-lb \] \[ =0.21lb \] Percentage increase: \[ \frac{0.21lb}{lb}\times 100=21\% \] \[ \therefore \text{Correct Answer is (B)} \]
Area of a rectangle is: \[ A=l\times b \] If both length and breadth are increased, the new area is found by multiplying the increased dimensions.
Step 1: Assume original length and breadth.
Let the original length be \(l\) and breadth be \(b\). Original area: \[ A=lb \]
Step 2: Increase each side by \(10\%\).
New length: \[ l+\frac{10}{100}l=1.1l \] New breadth: \[ b+\frac{10}{100}b=1.1b \]
Step 3: Find new area. \[ A'=1.1l\times 1.1b \] \[ A'=1.21lb \]
Step 4: Find percentage increase. \[ \text{Increase}=A'-A \] \[ =1.21lb-lb \] \[ =0.21lb \] Percentage increase: \[ \frac{0.21lb}{lb}\times 100=21\% \] \[ \therefore \text{Correct Answer is (B)} \]
Was this answer helpful?
0
0
Top CUET PG B.Ed. Mathematics Questions
- Which of the following represents the slope of the line passing through points (3, −2) and (3, 4)?
- Evaluate the determinant:
\[ \left| \begin{array}{ccc} b+c & a-b & a\\ c+a & b-c & b\\ a+b & c-a & c\\ \end{array} \right| \] - If \[ x=e^{\tan^{-1}\left(\frac{y-x^2}{x}\right)} \] then \(\dfrac{dy}{dx}=?\)
- If \(y=e^{m\sin^{-1}x}\) and \(y_n\) indicates \(n^{th}\) derivative of \(y\) with respect to \(x\), then which of the following relation is true?
- Which of the following is derivative of \(\sqrt{a^{\sqrt{x}}}\) with respect to \(x\)?
View More Questions
Top CUET PG Number System Questions
- If one of the roots of equation \(ax^4+bx^3+cx^2+dx+e=0\) is \(\sqrt{2}+\sqrt{-3}\), then arrange the following in non-decreasing order \((a\neq 0)\). A. \(a\),
B. \(b\),
C. \(c\),
D. \(d\),
E. \(e\). - Which of the following is/are solution of the LPP? \[ \text{Min }Z=12x+9y \] Subject to \[ x+2y\leq 40,\quad 3x+y\geq 30,\quad 4x+3y\geq 60,\quad x,y\geq 0 \] A. \((15,0)\),
B. \((40,0)\),
C. \((4,18)\),
D. \((6,12)\),
E. \((10.5,6)\). - If one of the roots of equation \(ax^4+bx^3+cx^2+dx+e=0\) is \(\sqrt{2}+\sqrt{-3}\), then arrange the following in non-decreasing order \((a\neq 0)\). A. \(a\),
B. \(b\),
C. \(c\),
D. \(d\),
E. \(e\). - Which of the following is/are solution of the LPP? \[ \text{Min }Z=12x+9y \] Subject to \[ x+2y\leq 40,\quad 3x+y\geq 30,\quad 4x+3y\geq 60,\quad x,y\geq 0 \] A. \((15,0)\),
B. \((40,0)\),
C. \((4,18)\),
D. \((6,12)\),
E. \((10.5,6)\).
Top CUET PG Questions
- Given below are two statements:
Statement I: For Plato the meaning of the word 'Justice' is basically a conception in the mind only.
Statement II: For Plato the meaning of the word 'Justice' is fixed, mind-independently
In the light of the above statements, choose the correct answer from the options given below: - What is the electron count of OS6CO182-?
- XeF4 hydrolysis gives A + B, HF, and Oxygen. Find A and B
- What is more basic in pyrol and pyridine?
- Hydrolysis of Al2C3, Be2?
View More Questions