SOLUTION: A rectangle surmounted by an equilateral triangle. If the height of the rectangle is 3 meters less than a side of the triangle, and the perimeter of the figure is 34 meters, deter
Algebra.Com
Question 56952This question is from textbook Introductory Algebra for college students
: A rectangle surmounted by an equilateral triangle. If the height of the rectangle is 3 meters less than a side of the triangle, and the perimeter of the figure is 34 meters, determine the length of a side of the triangle.
This question is from textbook Introductory Algebra for college students
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A rectangle surmounted by an equilateral triangle. If the height of the rectangle is 3 meters less than a side of the triangle, and the perimeter of the figure is 34 meters, determine the length of a side of the triangle.
:
I picture this as a rectangle with a triangle on top of it. Perhaps if you drew a rough diagram of this it would make sense to you.
:
The measure of one side of the triangle is also the measure of the side of the rectangle. (It's an equilateral triangle)
:
Let s = length of one side of the triangle.(It's also one side of the rectangle)
:
The perimeter would be:
s + s + (s-3) + s + (s-3) = 34
5s - 6 = 34
5s = 34 + 6
s = 40/5
s = 8
RELATED QUESTIONS
The length of a side of an equilateral triangle is the same as the length of a rectangle... (answered by gabriel24)
The length of a side of an equilateral triangle is the same as the length of a rectangle... (answered by jorel1380)
The length of a side of an equilateral triangle is the same as the length of a rectangle... (answered by ankor@dixie-net.com)
an equilateral triangle and a rectangle have the same perimeter. the length of a... (answered by addingup,ikleyn,MathTherapy)
An equilateral triangle has the same perimeter as a rectangle. The length of the... (answered by josgarithmetic)
A rectangle is inscribed fully inside an equilateral triangle. The triangle has a side... (answered by josgarithmetic)
A window is in the shape of a rectangle surmounted by a semicircle. The height of the... (answered by josmiceli)
The width of a rectangle is 10 meters less than the length. If the perimeter is 56... (answered by ewatrrr)
The area of a triangle is 13.5 square meters. Find the base and height of the rectangle... (answered by checkley77)