How many sides does this polygon have?

4 Answers

• Well,

  the best thing is to make a drawing my my points

  0≤x≤2, 0≤y≤1, forms a rectangle with corners : O(0,0) , A(2,0) , B(2,1) , J(0,1)

  and y = -(1/ 2) x + (3/ 2) passes through : C(0, 3/2) and D(3,0) ---> line (L)

  and

  (L) cuts the rectangle at two points :

  E(1,1) so that y = 1 = -(1/2)x+ 3/2 gives: x = 1

  and

  F(2, f ) so that : f = -(1/ 2) 2 + (3/ 2) = 1/2

  therefore :

  the polygon has 5 sides

  hope it' ll help !!

• Draw the lines on a graph. You will see that the polygon has 5 sides, bounded by the x axis, the y axis, the vertical line x = 2, the horizontal line y = 1, and the graph of y = -(1/2)x + 3/2.

  5 sides

• 5 sides

• 3, one for each inequality