# Area Questions

Q:

A) 65.25 | B) 56.25 |

C) 65 | D) 56 |

Answer & Explanation
Answer: B) 56.25

Explanation:

Explanation:

let each side of the square be a , then area = a x a

As given that The side is increased by 25%, then

New side = =

New area =

increased area=

Increase %= % = 56.25%

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Q:

A) 55% | B) 65% |

C) 75% | D) 85% |

Answer & Explanation
Answer: C) 75%

Explanation:

Explanation:

Let original radius = R.

New radius = =

Original area = and new area =

Decrease in area = = 75%

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Q:

A) 30 | B) 40 |

C) 50 | D) 60 |

Answer & Explanation
Answer: A) 30

Explanation:

Explanation:

Let the side of the square(ABCD) be x meters.

Then, AB + BC = 2x metres.

AC = = (1.41x) m.

Saving on 2x metres = (0.59x) m.

Saving % = = 30% (approx)

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Q:

A) 110 | B) 120 |

C) 130 | D) 140 |

Answer & Explanation
Answer: B) 120

Explanation:

Explanation:

let length = x and breadth = y then

2(x+y) = 46 x+y = 23

x²+y² = 17² = 289

now (x+y)² = 23²

x²+y²+2xy= 529

289+ 2xy = 529

xy = 120

area = xy = 120 sq.cm

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Q:

A) 20 | B) 25 |

C) 30 | D) 35 |

Answer & Explanation
Answer: B) 25

Explanation:

Explanation:

Let breadth = x m

Then, length = (x+5)m

x(x+5) = 750

x² + 5x - 750= 0

(x+30)(x-25)= 0

x = 25

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