Problema Solution

A polygon with 4equal angles has a perimeter of 24x+56 all over 2.find its area.

Answer provided by our tutors

we will assume that the polygon is quadrilateral


since all 4 angles are equal follows the polygon is a rectangle


a = the length of the rectangle

b = the width of the rectangle


P = 2(a + b) is the perimeter and we know that P = (24x+56)/2 thus


2(a + b) = (24x+56)/2


a + b = 6x + 14


A = a*b is the area of the rectangle


A = a(6x + 14 - a)