Problema Solution
a rectangle one side is 8 cm longer the others. the perimeter of the rectangle is equal to the circumference of an equilateral triangle. The triangle's side is as long as long side of rectangle. How big is the area of the rectangle
Answer provided by our tutors
let
x = the shorter side of the rectangle, x>0
x + 8 = the longer side of the rectangle
(x+8)(√3)/2 = the triangle's side
the perimeter of the rectangle is equal to the circumference of an equilateral triangle
2(x + x + 8) = 3*(x+8)(√3)/2
by solving we find:
x = 3.41 cm
click here to see the step by step solution of the equation:
the area of the rectangle: A = x*(x + 8)
A = 3.41(3.41 + 8)
A = 38.91 cm^2
the area of the rectangle is 38.91 cm^2.