Question : The length of a rectangle is increased by 10% and breadth is decreased by 10%. The area of the new rectangle is:
Option 1: neither increased nor decreased.
Option 2: increased by 1%.
Option 3: decreased by 2%.
Option 4: decreased by 1%.
Correct Answer: decreased by 1%.
Solution : Let the length and breadth of the rectangle be $a$ and $b$ respectively. Initial area = $ab$ sq. units Length after 10% increase = $a + \frac{10}{100}\times a = 1.1a$ Breadth after 10% decrease = $b - \frac{10}{100}\times b = 0.9b$ $\therefore$ New area becomes = $1.1a \times 0.9b = 0.99ab$ sq. units So, percentage decrease in area = $\frac{ab-0.99ab}{ab}\times$ 100 = 1% Hence, the correct answer is decreased by 1%.
Application | Eligibility | Selection Process | Result | Cutoff | Admit Card | Preparation Tips
Question : The area of a square and rectangle are equal. The length of the rectangle is greater than the length of a side of the square by 10 cm and the breadth is less than 5 cm. The perimeter (in cm) of the rectangle is:
Option 1: 50
Option 2: 40
Option 3: 80
Option 4: 100
Question : If the length of a rectangular plot of land is increased by 5% and the breadth is decreased by 10%, how much will its area increase or decrease?
Option 1: 6.5% increase
Option 2: 5.5% decrease
Option 3: 5.5% increase
Option 4: 6.5% decrease
Question : The perimeter of a square is half the perimeter of a rectangle. The perimeter of the square is 40 m. If its breadth is two-thirds of its length, then what is the area (in m2) of the rectangle?
Option 1: 384
Option 2: 196
Option 3: 321
Option 4: 400
Question : The perimeter of a rectangle is equal to the perimeter of a square. If the length and the breadth of the rectangle are 10 cm and 8 cm, respectively, then what will be the area of the square?
Option 1: 72 cm2
Option 2: 98 cm2
Option 3: 81 cm2
Option 4: 64 cm2
Question : If the area of a square is decreased by 19%, then the diagonal of the square is decreased by:
Option 1: 10%
Option 2: 15%
Option 3: 5%
Option 4: 12%
Regular exam updates, QnA, Predictors, College Applications & E-books now on your Mobile