Home
Class 10
MATHS
The diagonal of a rectangular field is 6...

The diagonal of a rectangular field is 60 metres more than the shorter side. If the longer side is 30 metres more than the shorter side, find the sides of the field.
OR
Sum of the areas of two squares is `468m^(2)`. If the difference of their perimeters is 24m, find the sides of two squares.

Text Solution

Verified by Experts

The correct Answer is:
`:.` Shorter side `=90m=BO=x`
Longer side `=x+30=90+30=120m`
Diagonal `=x+60=90+60=150m`
OR
`x=6+y=6+12=18m`
The sides of two squares are 18m and 12m.
Promotional Banner

Topper's Solved these Questions

  • MOST LIKELY QUESTION PAPER 10

    CPC CAMBRIDGE PUBLICATION|Exercise QUESTIONS|36 Videos
  • PAIR OF LINEAR EQUATION IN TWO VARIABLES

    CPC CAMBRIDGE PUBLICATION|Exercise EXERCISE 3.7|12 Videos

Similar Questions

Explore conceptually related problems

The diagonal of a rectangular filed is 60 meters more than the shorter side. If the longer side is 30 meters more than the shorter side, find the side of the field.

Sum of the areas of two squares is 468 m ^(2) . If the difference of their perimeters is 24m , Find the sides of the two squares.

The hypotenuse of a right triangle is 6m more than twice of the shortest side. If the third side is 2 m., less than the hypotenuse, find the sides of the triangle

Solve for x. (1)/(a+b+x)=1/a+1/b+1/x ( Where a!=0, b!=0, x!=0, x!=-a, -b ) OR The diagonal of a rectangular field is 60m more than the shorter side. If the larger side is 30m more than the shorter side, find the sides of the field.

Find the side of the square whose perimeter is 20m.

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

The longest side of a triangle is 3 times the shortest side and the third side is 2 cm shorter than the longest side. If the perimeter of the triangle is at least 61 cm, find the minimum length of the shortest side.

The length of the diagonal of a rectangular playground is 125 m and length of one side is 75 m. Find the length of the other side.

CPC CAMBRIDGE PUBLICATION-MOST LIKELY QUESTION PAPER 8 -QUESTIONS
  1. Find the value of cos60^(@) cos 30^(@)-sin 60^(@) sin 30^(@)

    Text Solution

    |

  2. The T.S.A of a solid hemisphere of radius 21 mm.

    Text Solution

    |

  3. Prove that if x and y are odd positive integers , then x^2 +y^2 is eve...

    Text Solution

    |

  4. Solve: 100x+200y=700 200x+100y=800

    Text Solution

    |

  5. Find the roots of the quadratic equation 3x^(2)-2sqrt(6)x+2=0 by formu...

    Text Solution

    |

  6. Find the value of x in which the points (1, -1) (x,1) and (4, 5) are c...

    Text Solution

    |

  7. ABC is a right angled triangle, having lfloorB=90^(@). If BD=DC, Show ...

    Text Solution

    |

  8. A box contains 90 dices which are numbered from 1 to 90. If one dise i...

    Text Solution

    |

  9. Prove that (tan theta+ sin theta)/(tan theta-sin theta)= (sec theta+1)...

    Text Solution

    |

  10. The sum of the ages of A and B is 85 years. 5 years ago, the age of A ...

    Text Solution

    |

  11. Find the zeroes of the polynomial p(y)=y^(3)-5y^(2)-2y+24 if it is giv...

    Text Solution

    |

  12. The diagonal of a rectangular field is 60 metres more than the shorter...

    Text Solution

    |

  13. Show that the points x(2, -2) y (-2, 1) and z(5, 2) are the vertices o...

    Text Solution

    |

  14. Prove that the angle between the two tangents drawn from an external ...

    Text Solution

    |

  15. Find the area of the shaded region where a circular are of Radius 6 c...

    Text Solution

    |

  16. If the median of the distribution given below is 28.5. Find the values...

    Text Solution

    |

  17. Solve the pair of equations graphically. x+y=3 and 3x-2y=4

    Text Solution

    |

  18. If the sum of first 8 terms of an Arithmetic progression is 136 and th...

    Text Solution

    |

  19. Two poles of equal heights are standing opposite each other on either ...

    Text Solution

    |

  20. A circus tent is made of canvas and is in the form of a right circular...

    Text Solution

    |