math

the height of a triangle is 4 inches greater than twice its base. the area of the triangle is 168 square inches. what is the base of the triangle?



Area=1/2 B*H= 1/2 B (2B+4)

solve for B

h = 4 + 2b
b = ?
A = (b*h)/2 = 168

168 = [b(4+2b)]/2
168 = (4b + 2b^2)/2
336 = 4b + 2b^2
2b^2 + 4b - 336 = 0
2(b^2 + 2b - 168) = 0
2(b-12)(b+14) = 0
b=12 and b=-14

Ignore the negative answer, negative distances have no real meaning.

  1. 👍 0
  2. 👎 0
  3. 👁 232

Respond to this Question

First Name

Your Response

Similar Questions

  1. Algebra - PLEASE HELP!

    Can you PLEASE help me with this problem? I do not understand... The area of a triangle can be found by using the formula A=1/2bh. The area of the triangle can be represented by the expression -17.5x2^ - 138.5x - 27. The

    asked by Leroy on February 20, 2017
  2. geometry

    The height of a triangle is 25 inches greater than its base. The area of the triangle is 625 square inches. The height of the triangle is inches and the base of the triangle is inches.

    asked by Gaby on September 7, 2015
  3. Algebra II

    The height of a right triangle is 7 inches greater than the length of its base. If the area of the triangle is 15 square inches, find the base.

    asked by Nicole on July 1, 2011
  4. Algebra

    A triangle has an area of 60 in^2. Its base is 10 inches and its height is √x inches. What is the value of x? What is the height of the triangle? Please show all work that you use to determine your answer. (Hint: The formula for

    asked by sarah on May 20, 2013
  5. Math

    The triangle in the trapezoid share a 15 inch base and a height of 10 inches. The area of the trapezoid is less than twice the area of the triangle. Find the values of X. X is greater than --- and x is less than 15 inches.

    asked by Liz on November 11, 2016
  6. Math

    The area A of a triangle is given by the formula A=1/2bh If the base of the triangle with height 12 inches is doubled, its area will be increased by 48 square inches. Find the base of the orignial triangle.

    asked by Colin on February 10, 2010
  7. Math

    The area A of a triangle is given by the formula A=1/2bh If the base of the triangle with height 12 inches is doubled, its area will be increased by 48 square inches. Find the base of the orignial triangle.

    asked by Colin on February 10, 2010
  8. Math

    A rectangular solid has a base area of 43.3 sq inches and a height of 50 inches a triangular prism has a base in the shape of an equilateral triangle and a height of 50 inches. the volumes for both shapes are equal. find the side

    asked by Joshua on May 12, 2012
  9. geometry

    A triangle's base is 14 inches less than 2 times its height. If h represents the height in inches, and the total area of the triangle is 54 square inches, which of the following equations can be used to determine the height?

    asked by Anonymous on May 4, 2010
  10. Algebra Word Problem

    COULD SOMEONE PLEASE HELP ME WITH THIS !!!!!!!!!! The base of a triangle is 3cm greater than the height. The area is 44cm^2. Find the height and length of the base. The height of the triangle is_______ cm The base of the traingle

    asked by pj on December 14, 2008

More Similar Questions