# Area Questions

A) 65.25 | B) 56.25 |

C) 65 | D) 56 |

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%

A) 55% | B) 65% |

C) 75% | D) 85% |

Explanation:

Let original radius = R.

New radius = =

Original area = and new area =

Decrease in area = = 75%

A) 30 | B) 40 |

C) 50 | D) 60 |

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)

A) 136 | B) 236 |

C) 336 | D) 436 |

Explanation:

let ABCD be the given parallelogram

area of parallelogram ABCD = 2 x (area of triangle ABC)

now a = 30m, b = 14m and c = 40m

Area of triangle ABC =

= = 168sq m

area of parallelogram ABCD = 2 x 168 = 336 sq m

A) 110 | B) 120 |

C) 130 | D) 140 |

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