A) 65.25 | B) 56.25 |

C) 65 | D) 56 |

Explanation:

let each side of the square be a , then area = ${a}^{2}$

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

New side = 125a/100 = 5a/4

New area = ${\left(\frac{5a}{4}\right)}^{2}$

Increased area= $\frac{25{a}^{2}}{16}-{a}^{2}$

Increase %=$\frac{\left[9{a}^{2}/16\right]}{{a}^{2}}*100$ % = 56.25%

A) 25 sq.cm | B) 16 sq.cm |

C) 9 sq.cm | D) 4 sq.cm |

Explanation:

Given length of the rectangle = 3 cm

Breadth of the rectangle = 4 cm

Then, the diagonal of the rectangle $\mathbf{D}\mathbf{}\mathbf{=}\mathbf{}\sqrt{{\mathbf{3}}^{\mathbf{2}}\mathbf{}\mathbf{+}\mathbf{}{\mathbf{4}}^{\mathbf{2}}}\mathbf{}\mathbf{=}\mathbf{}\sqrt{\mathbf{25}}\mathbf{}\mathbf{=}\mathbf{}\mathbf{5}$

Then, it implies side of square = 5 cm

We know that Area of square **= S x S = 5 x 5 = 25 sq.cm.**

A) 5100 sq.m | B) 4870 sq.m |

C) 4987 sq.m | D) 4442 sq.m |

Explanation:

Let the breadth of floor be 'b' m.

Then, length of the floor is 'l = (b + 25)'

Area of the rectangular floor = l x b = (b + 25) × b

According to the question,

**(b + 15) (b + 8) = (b + 25) × b**

${\mathbf{b}}^{\mathbf{2}}\mathbf{}\mathbf{+}\mathbf{}\mathbf{8}\mathbf{b}\mathbf{}\mathbf{+}\mathbf{}\mathbf{15}\mathbf{b}\mathbf{}\mathbf{+}\mathbf{}\mathbf{120}\mathbf{}\mathbf{=}\mathbf{}{\mathbf{b}}^{\mathbf{2}}\mathbf{}\mathbf{+}\mathbf{}\mathbf{25}\mathbf{b}$

**2b = 120**

**b = 60 m.**

**l = b + 25 = 60 + 25 = 85 m**.

Area of the floor =** 85 × 60** = **5100 sq.m**.

A) 312 sq.cm | B) 128 sq.cm |

C) 412 sq.cm | D) 246 sq.cm |

A) 378 | B) 472.5 |

C) 496 | D) 630 |

A) 28 cm | B) 3.5 cm |

C) 7 cm | D) 14 cm |

Explanation:

Circular piece is 4 x 11 = 44 cm long,

Then Circumference of circle is given by,

44 = pi x D, where D is the diameter

D = 44 / pi

Take pi = 22 / 7, then

D = 44 / (22/7) = (44 x 7) / 22

D = 14 cm.

A) 15 cm | B) 18 cm |

C) 34 cm | D) 26 cm |

Explanation:

Let the side of the square be 's' cm

length of rectangle = (s+5) cm

breadth of rectangle = (s-3)cm

(s+5) (s-3) =

${s}^{2}$ - 5s - 3s - 15 = ${s}^{2}$

2s = 15

Perimeter of rectangle = 2(L+B) = 2(s+5 + s–3) = 2(2s + 2)

= 2(15 + 2) = 34 cm

A) 187 cm | B) 178 cm |

C) 149 cm | D) 194 cm |

Explanation:

Area of square = 40 x 40

= 1600 sq.cm

Given that the areas of Square and Rectangle are equal

=> Area of rectangle = 1600 Sq.cm

We know that, Area of rectangle = L x B

Given L = 64 cm

Breadth of rectangle = 1600/64 = 25 cm

Perimeter of the rectangle = 2(L + B) = 2(64+25) = 178 cm.

A) Only statement A is required | B) Only statement B is required |

C) Both A & B are required | D) Neither (A) nor (B) is reuired |

Explanation:

From statement (A),

20b = (1/2) × b × h

h = 40 cm.