Answer:
83 cm
Step-by-step explanation:
Let the length of the rectangle be L cm and the width be W cm.
L= 2W +3 -----(1)
Perimeter of rectangle= 2(length) +2(width)
2L +2W= 246 -----(2)
Substitute (1) into (2):
2(2W +3) +2W= 246
Expand:
4W +6 +2W= 246
Simplify:
6W +6= 246
Divide both sides by 6:
W +1= 41
W= 41 -1
W= 40
∴ width of the rectangle is 40cm.
Substitute value of W into (1):
L= 2(40).+3
L= 80 +3
L= 83
Thus, the length of the rectangle is 83 cm.
