By definition we have that the perimeter of a rectangle is given by: P = 2b + 2h Where, b: base h: height Also, as a data of the problem we have: base is two times the height: b = 2h Substituting we have: P = 2 (2h) + 2h Clearing h: 6h = P h = P / 6 h = (80x) / 6 h = (40/3) x The base will be b = 2h b = (80/3) x Answer: the dimensions of the rectangle are b = (80/3) x h = (40/3) x b. h = 13.3x; b = 26.6x
Answer: <span>h = 13.3x; b = 26.6x </span> Explanation: Perimeter of the rectangle = 2(base+height) 80x = 2(base+height) base + height = 40x ........> I
Now, we are given that the base is 2 times the height, this means that: base = 2*height ..........> II
Substitute with II in I: base + height = 40x 2*height + height = 40x 3*height = 40x height = 13.3x
Substitute with the height in equation II to get the base as follows: base = 2*height base = 2 * 13.3x = 26.6x
