Question

each side of a triangle is doubled find the ratio between:
(1) perimeters of the original rectangle and the resulting rectangle
(2) areas of the original rectangle and the resulting rectangle

Answer 1

original sides are ab, bc and ac , perimeter= ab+bc+ac
resulting sides are 2ab, 2bc and 2ac , perimeter= 2ab+2bc+2ac
ratio ab+bc+ac : 2ab+2bc+2ac
ab+bc+ac: 2 (ab+bc+ac)
1:2
area
1/2×base×height
original :
1/2×bc×ad : 1/2×2bc×ad
1:2