Homework Help: Geometry

Posted by LP on Sunday, January 6, 2013 at 1:00pm.

The perimeter of a Triangle(MNO) is equal to the perimeter of square ABCD. If the sides of the triangle are represented by 4x+4, 5x-3, and 17, and one side of the square is represented by 3x, find the length of a side of the square.

Geometry - Reiny, Sunday, January 6, 2013 at 3:12pm
perimeter of square = 4(3x) = 12x
perimeter of triangle = 4x+4 + 5x-3 + 17 = 9x + 18

so
12x = 9x+18
3x=18
x=6

so the side of the square is 3(6) = 18

check:
perimeter of square = 4(18) = 72
sides of triangle are 28, 27 and 17
perimeter of triangle = 28+27+17 = 72

Answer this Question

Related Questions

geometry - The perimeter of right triangle RST is equal to the perimeter of ...
Algebra - The perimeter of an equilateral triangle is 7 in. more than the ...
Math (Geometry) - The perimeter of right triangle ABC is equal to the perimeter ...
geometry - Corresponding sides of 2 triangles are 6 & 15; if the perimeter ...
Math - There's a triangle the numbers on each sides are 22 25 and 11 What is...
geometry - the perimeter of triangle ABC is 21 units. Give the perimeter of ...
geometry - In similar triangles ABC and DEF, corresponding sides AB and DE equal...
math - An equilateral triangle has a perimeter of 33 inches. What would the ...
math/geometry - the area of one triangle is 9dm^2 and its perimeter is 4x-4. The...
Algebra 2 - Perimeter of Triangle: the length of the sides of a triangle are 1/x...

For Further Reading

First Name:
School Subject:
Answer: