Math

posted by .

A rectangular parcel of land is 70 ft longer than it is wide. Each diagonal between opposite corners is 130 ft. What are the dimensions of the parcel?

  • Math -

    sides are x and x+70

    x^2 + (x+70)^2 = 130^2
    x^2 + x^2 + 140x + 4900 = 16900
    2x^2 + 140x - 12000 = 0
    x^2 + 70x - 6000 = 0
    (x+120)(x-50) = 0
    x = 50

    sides are 50, 120

    Or, more easily, you could have checked for a scaled-up 5,12,13 triangle. The diagonal of 130 was a good hint.

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Int Algebra

    I need some help. A parcel of land is 6 ft longer than it is wide. The diagonal from one corner to the opposite corner is 174ft. What are the dimensions of the parcel?
  2. physics

    Suppose a spherical planet P has a uniform density of 4.96*10^3 kg/m^3 and a radius R=1904 km. For a parcel that weighs 73 N on the surface of the (spherical) earth, what is A) gp/ge and B) its weight on the surface of P?
  3. Science

    Assume that a parcel of air is forcd to rise up and over a 6000 foot high mountain.The initial temp of the parcel at sea level is 76.5 F, and the LCL of the parcel is 3000 feet. The DAR is 5.5 * F/1000m and the SAR is 3.3*c/1000m. …
  4. algebra

    A rectangular parcel of land is 70 ft longer than it is wide. Each diagonal between opposite corners is 130 ft. What are the dimensions of the parcel?
  5. pre cal

    A rectangular parcel of land has an area of 4,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. What are the dimensions of the land, correct to the nearest foot?
  6. Math

    A rectangular parcel of land has an area of 2,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. What are the dimensions of the land, correct to the nearest foot?
  7. Science

    Assume that a parcel of air is forcd to rise up and over a 6000 foot high mountain.The initial temp of the parcel at sea level is 76.5 F, and the LCL of the parcel is 3000 feet. The DAR is 5.5 * F/1000m and the SAR is 3.3*c/1000m. …
  8. College Algebra

    A rectangular parcel of land is 20 ft longer than it is wide. Each diagonal between opposite corners is 100 ft. What are the dimensions of the parcel?
  9. pre calculus

    A rectangular parcel of land has an area of 4,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than one side of the parcel. What are the dimensions of the land, correct to the nearest foot?
  10. pre calculus

    A triangular parcel of land has borders of lengths 55 meters, 85 meters, and 100 meters. Find the area of the parcel of land.

More Similar Questions