# Aptitude - Area

- Area - Formulas
- Area - General Questions
- Area - Data Sufficiency 1
- Area - Data Sufficiency 2
- Area - Data Sufficiency 3

*Directions to Solve*

Each of the questions given below consists of a statement and / or a question and two statements numbered I and II given below it. You have to decide whether the data provided in the statement(s) is / are sufficient to answer the given question. Read the both statements and

- Give answer (A) if the data in Statement I alone are sufficient to answer the question, while the data in Statement II alone are not sufficient to answer the question.
- Give answer (B) if the data in Statement II alone are sufficient to answer the question, while the data in Statement I alone are not sufficient to answer the question.
- Give answer (C) if the data either in Statement I or in Statement II alone are sufficient to answer the question.
- Give answer (D) if the data even in both Statements I and II together are not sufficient to answer the question.
- Give answer(E) if the data in both Statements I and II together are necessary to answer the question.

The area of playground is 1600 m | |

I. | It is a perfect square playground. |

II. | It costs Rs. 3200 to put a fence around the playground at the rate of Rs. 20 per metre. |

Area = 1600 m^{2}.

** I.** Side = 1600 m = 40 m. So, perimeter = (40 x 4) m = 160 m.

I alone gives the answer.

II. Perimeter = |
Total cost | = | 3200 | m | = 160 m. |

Cost per metre | 20 |

II alone gives the answer.

Correct answer is (C).

The area of a rectangle is equal to the area of right-angles triangle. What is the length of the rectangle? | |

I. | The base of the triangle is 40 cm. |

II. | The height of the triangle is 50 cm. |

Given: Area of rectangle = Area of a right-angles triangle.

l x b = |
1 | x B x H |

2 |

I gives, B = 40 cm.

II gives, H = 50 cm.

Thus, to find *l*, we need *b* also, which is not given.

Given data is not sufficient to give the answer.

Correct answer is (D).

What is the height of the triangle? | |

I. | The area of the triangle is 20 times its base. |

II. | The perimeter of the triangle is equal to the perimeter of a square of side 10 cm. |

I. A = 20 x B |
1 | x B x H = 20 x B H = 40. |

2 |

I alone gives the answer.

**II** gives, perimeter of the triangle = 40 cm.

This does not give the height of the triangle.

Correct answer is (A).

What will be the cost of painting the inner walls of a room if the rate of painting is Rs. 20 per square foot? | |

I. | Circumference of the floor is 44 feet. |

II. | The height of the wall of the room is 12 feet. |

**I** gives, 2R = 44.

**II** gives, H = 12.

A = 2RH = (44 x 12).

Cost of painting = Rs. (44 x 12 x 20).

Thus, I and II together give the answer.

Correct answer is (E).