Post a New Question

math hw (algebra)

posted by .

On the sidewalk the distance from the dormitory to the cafeteria is 400 meters. By cutting across the lawn, the walking distance is shortened to 300 meters. how long is each part of the L shaped sidewalk?

  • math hw (algebra) -

    I visualize a right angled triangle with sides
    y, 400-y, and hypotenuse 300

    There will be large numbers , so here is a little trick
    let x be multiples of 100
    so we have
    x, 4-x, and 3 as the sides of a right-angled triangle

    x^2 + (4-x)^2 = 3^2
    x^2 + 16 - 8x + x^2 = 9
    2x^2 - 8x + 7 = 0
    x = (8 ± √8)/4
    = 2.7071 or 1.2929
    but x was a multiple of 100

    so one leg was 270.71 , the other 400-270.71 or 129.29 m

    or

    one leg was 129.29 , then the other leg was 270.71

    check
    270.71^2 + 129.29^2 = 89999.8 or appr 90000 = 300^2

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Physics

    How do I do these? A passenger at an airport steps onto a moving sidewalk that is 100.0 m long and is moving at a speed of 1.5 m/s. The passenger then starts walking at a speed of 1.0 m/s in the same direction as the sidewalk is moving.
  2. or pre-algebra

    (a)on july 15,2007 , the national debt of the united states of americawas a little more than 8.8 trillion dollars. at that time, the population of the united states was a little more than 300 million. approximately how much money would …
  3. 8th grade

    (a)on july 15,2007 , the national debt of the united states of americawas a little more than 8.8 trillion dollars. at that time, the population of the united states was a little more than 300 million. approximately how much money would …
  4. Algebra 1

    A rectangular piece of art is 4 meters wide and 6 meters long. It is surrounded by a uniform sidewalk. If the area of the uniform sidewalk is 39 square meters, how wide is the sidewalk
  5. Math

    A rectangle park measures 300 ft by 400 ft. A sidewalk runs diagonally from one corner to the opposite corner. Find the length of the sidewalk.
  6. physics

    Lance arrives early at the airport (with owers and balloons in hand) to welcome a friend. Her plane is delayed. While waiting, he notices that it takes 2 minutes 47 seconds to get down the hall on the moving sidewalk. While walking …
  7. Math

    A sidewalk is 40 m long. each section of the sidewalk is 8 dm long. how many sections of sidewalk are there?
  8. Math

    At the​ airport, Person A and Person B are walking at the same speed to catch their​ flight, but Person B decides to step onto the moving​ sidewalk, while Person A continues to walk on the stationary sidewalk. If …
  9. English

    1. I happened to meet he on the sidewalk. 2. I chanced to meet her on the sidewalk. 3. I met her on the sidewalk by chance. 4. I met her on the sidewalk by accident. 5. I met her on the sidewalk by happen. ------------------- Are they …
  10. physics

    A ‘moving sidewalk’ in an airport terminal moves at 1 m/s and is 35 m long. If a woman steps on at one end and walks 1.5 m/s relative to the sidewalk, in the same direction as the movement of sidewalk. (a) How much time does it …

More Similar Questions

Post a New Question