Correct Answers: | |

Wrong Answers: | |

Unattempted: |

### Question 1

The length and breadth of a rectangle are in the ratio 15 : 7. What is the area if the perimeter is 352 meters?

### Question 2

The length and breadth of a rectangle are respectively increased by 11% and 3%. What is the % increase in the area?

**A**

$14{33/100}$%.

**B**

$15{16/33}$%.

**C**

$13{7/102}$%.

**D**

$16{101/102}$%.

**Soln.**

**Ans: a**

If x% and y% is the increase in the dimensions, then the area of a rectangle increases by $(x + y + {xy}/100)$% = $(11 + 3 + {11 × 3}/100)$% = ${1433/100}$, which is same as: $14{33/100}$%

### Question 3

A rectangular wire 22 × 18 is re-aligned into a rectangle 11 × 54. What is the percentage increase in area?

### Question 4

A gun is fired towards a circular board consisting of two concentric circles of radii 19 and 13 cm. If each bullet is able to hit the board, what is the probability that it will strike the ring, i.e., the area between the inner and outer circles?

**A**

${192/361}$.

**B**

${32/61}$.

**C**

1/2.

**D**

${24/47}$.

**Soln.**

**Ans: a**

The area of the ring is equal to the difference of the areas of the two circles. π($19^2 - 13^2$) = 192π sq. cm. The total area is π × 19^{2} = 361π. The probability of hitting the ring is ${192π}/{361π}$ = ${192/361}$.

### Question 5

A rectangular wire 18 × 11 is re-aligned into a rectangle 9 × 33. What is the percentage increase in area?

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This Blog Post/Article "Areas Quiz Set 009" by Parveen (Hoven) is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.

Updated on 2019-08-18.