SOLUTION: suppose the perimeter of the rectangle and the perimeter of the triangle are equal. the rectangle has 4 on the left side and x+3 on the bottom and the triangle is 2x on all thre

Question 39045This question is from textbook
: suppose the perimeter of the rectangle and the perimeter of the triangle are equal.
the rectangle has 4 on the left side and x+3 on the bottom and the triangle is 2x on all three sides.
a. write and equation in terms of x to represent this situation
b. solve the equation for x
c. Find the length of the rectangle
d.Find the length of each side of the triangle
thank you This question is from textbook

Found 2 solutions by checkley71, KneesAndToes:
Answer by checkley71(8403) (Show Source): You can put this solution on YOUR website!
2*4+2(X+3)=2*3X OR 8+2X+6=6X OR 4X=14 OR X=14/4 OR X=3.5
PROOF 2*4+2(3.5+3)=6*3.5 OR 8+2*6.5=21 OR 8+13=21 OR 21=21
Answer by KneesAndToes(13) (Show Source): You can put this solution on YOUR website!
perimeter of triangle = perimeter of rectangle

2x+2x+2x = 4+(x+3)+4+(x+3) ... (simplify)

6x = 14+2x ... (subtract 2x from both sides)

4x = 14 ... (divide both sides by 4)

x = 3.5

Now you can replace x with 3.5 for each equation:

Perimeter of triangle = 6x = 6(3.5) = 21

Perimeter of rectangle = 14+2x = 14+2(3.5) = 21

RELATED QUESTIONS
Using the appropriate perimeter formula, find the perimeter of a rectangle that has 3x-8... (answered by stanbon)
a rectangle has one side equal to(2x+4)cm and a perimeter of (6x+4)cm.what is the area of (answered by mathbird)
The length of a rectangle is 3 times the width. The perimeter of the rectangle is equal... (answered by ankor@dixie-net.com)
a rectangle has one side equal to (2x+4)cm and a perimeter of (6x+4)cm what is the area... (answered by tommyt3rd)
The perimeter of a square and a rectangle are equal. One side of the rectangle is 11 cm... (answered by jorel555)
Suppose the side lengths of a rectangle are halved. What would happen to the perimeter. (answered by richard1234)
The rectangle has a perimeter of 68. What are the values of x and y. The Left side of... (answered by Fombitz)
Three equal squares of a side(9x+5y)are placed side by side to form a rectangle. What is... (answered by checkley77)
The length of a side of an equilateral triangle is the same as the length of a rectangle... (answered by gabriel24)