Question

Figure 2 shows 4 strips of paper formed from cutting ABCD. Figure 1 below shows a piece of rectangular paper ABCD where AB= (3x - 1) cm and BC= The total perimeter of the 4 strips is 170 cm. D C (b) Hence show that ABCD is a square. 2x+5 B 3x-1 Figure 1 (a) Form an algebraic equation in x and solve it. D 2x 326-1 Figure 2 C 2x75 = (2x + 5) cm. B​

Answer 1

(a) 2(3x-1) + 8(2x+5) = 170

Solve for x.
6x-2+16x+40=170
22x= 170+2-40
22x =132
x = 132/22 = 6

(b) Length AB = 3x-1 = 3(6)-1 = 17cm
Length BC = 2x+5 = 2(6)+5 = 17cm

Since length AB and BC are equal, Figure ABCD is a square of length 17cm.