math

The sides of a triangular lot are represented by x, 2x, and 3x + 2. Find each side if the perimeter is 362 feet.

  1. 👍 0
  2. 👎 0
  3. 👁 203
asked by Kay
  1. To find perimeter, you add up all the sides.

    So, your equation would be:
    x+2x+3x+2=362

    Combine like terms:
    6x+2=362

    Solve to get x by itself by subtracting 2.

    6x=360

    Divide by 6

    x=6

    To find each side, substitute 6 in for x for each of the expressions, x, 2x, and 3x+2

    Side one would be 6 feet
    Side two would be 12 feet because 6(2) is 12
    Side three would be 20 feet because 6(3) is 18 and adding 2 would give you 20.

    1. 👍 0
    2. 👎 0
  2. O my, x=60, not 6.. My fault for overlooking that.

    The three sides would be,
    60
    120
    182

    *Sorry again

    1. 👍 0
    2. 👎 0

Respond to this Question

First Name

Your Response

Similar Questions

  1. Geometry

    The sides of a triangular lot are represented by x, 2x, and 3x + 2. Find each side if the perimeter is 362 feet. What are the 3 lengths?

    asked by Ivan on January 16, 2011
  2. diff calculus

    1.) triangular corner lot has perpendicular sides of lengths 120 feet and 160 feet. Find the dimensions of the largest rectangular building that can be constructed on the lot with sides parallel to the streets.

    asked by west on October 17, 2014
  3. algebra

    A triangular lot in a park has a base with a measure that is 4 more than twice the height of the lot. The area of the lot is 99 square feet. Since the area of a triangle is found by using the formula A= 1/2bh, the area for this

    asked by kylie on January 14, 2019
  4. Math

    A triangular number is a number that can be represented by dots arranged in a triangular shape. The first four triangular numbers are 1, 3, 6, 10. What is the 10 triangular number? The 20th? The 100th?

    asked by Marie on February 15, 2010
  5. trigonometry

    Nikki bought a triangular lot whose sides are 9 meters, 12 meters, and 15 meters long. if it cost her 3500 pesos per square meter, how much did she pay for the lot?

    asked by joshua on December 28, 2015
  6. triganometry

    A landscape architect is designing a triangular garden to fit in the corner of a lot. The corner of the lot forms an angle of 50°, and the sides of the garden including this angle are to be 12 feet and 14 feet, respectively.

    asked by Ayesha on March 18, 2012
  7. math

    A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet. a. Find the length of the side of the lot opposite the 60° angle. b.Find the length of the hypotenuse of the

    asked by allison on March 8, 2013
  8. Pre-Algebra

    Q: A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet. a. Find the length of the side of the lot opposite the 60° angle. b. Find the length of the hypotenuse of

    asked by DArko on June 22, 2014
  9. prealgebra

    A building lot in a city is shaped as a 30° -60° -90° triangle. The side opposite the 30° angle measures 41 feet. a. Find the length of the side of the lot opposite the 60° angle. b.Find the length of the hypotenuse of the

    asked by Anonymous on July 31, 2014
  10. Geometry

    Two of the sides of a triangular lot have lengths of 90 feet and 80 feet. If the angle opposite the 80-foot side is 59°, what is the length of the third side of the lot to the nearest tenth of a foot?

    asked by Dolores on January 26, 2011

More Similar Questions