Math

The side of a square is 10 meters longer than the side of an equilateral triangle. The perimeter of the sqaure is 3 times the perimeter of the triangle. Find the length of each side of the triangle.

  1. 👍 0
  2. 👎 0
  3. 👁 571
  1. represent unknowns using variables:
    let x = length of a side of equilateral triangle
    let x+10 = length of a side of square
    *recall that perimeter of any polygon is the sum of the lengths of its sides,,
    since square has 4 sides with equal lengths, and equilateral triangle has 3 sides with equal lengths:
    P,square=4(x+10)
    P,triangle=3x
    thus:
    4(x+10) = 3*(3x)

    now simplify this, and solve for x.

    1. 👍 0
    2. 👎 0
  2. cc

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Math (Rational Inequality)

    A box with a square base is having a volume of 8 cubic meters. Let x be the length of the side of the square base and height of the box. What are the possible measurements of a side of the square base if the height should be

  2. Algebra

    A square and an equilateral triangle have the same perimeter.Each side of the triangle is 5 inches longer than each side of the square. What is the perimeter of the square.

  3. Math

    Can someone please check my answers? A yard has a square gate that has an area of 8 square meters. 1. What is the height of the gate in meters? Answer: 28 meters 2.How many feet would that be? Answer: 8.4 feet 3. If each side was

  4. Math

    Four balances are shown where the two sides of each contain exactly the same amount of weight. The first balance has 4 squares, 1 triangle and 1 ball on the left side, right side has 2 diamonds. The second balance has 1 triangle

  1. Math

    What is the ratio of the measures of side BC to side RS in simplest form? Triangle RST is shown with side RS labeled 12 meters, side ST labeled 13 meters, and side TR labeled 5 meters. Triangle BCD is shown with side BC labeled 6

  2. Math

    The first side of a triangle is 7cm shorter than twice the length of the second side.The third side is 4cm longer than the first side. The perimeter is 80cm. Calculate the length of each side of this triangle.

  3. math

    One side of triangle is 4cm longer than the shortest side and 2cm shorter than the longest side. The perimeter is 38cm. Find the dimension of the triangle

  4. 8th grade math

    the first side of a triangle measures 3 cm longer then the second side the third side is 4cm shorter then twice the second side the perimeter is 31cm. how long is each side?

  1. algebra

    The perimeter of a triangle is 57in. The longest side is 13in. longer than the medium side, and the medium side is 7 in. more than the shortest side. find the length of each side of the triangle. The length of the longest side is

  2. Math help!

    Which of the triangles described in the table is a right triangle. Table Triangle Q, Side 1=25 Side 2=10 Side 3=15. Triangle R, Side 1=26 Side 2=20 Side 3=46. Triangle S, Side 1=25 Side 2=20 Side 3=1,025. Triangle T, Side 1=25

  3. General Mathematics

    box with a square base is having a volume of 8 cubic meters. Let x be the length of the side of the square base and height of the box. What are the possible measurements of a side of the square base if the height should be longer

  4. Mathematics

    The first side of a triangle is 7 cm shorter than twice the second side. The third side is 4 cm longer than the second side. The perimeter is 77 cm. Which equation represents how to find each side? a) 4x + 3 = 77 b) 3x - 11 = 77

You can view more similar questions or ask a new question.