Answer:
length of the rectangle is 19 cm and the width of the rectangle is 8 cm.
Step-by-step explanation:
The formula for the perimeter of a rectangle = 2L + 2 W
Where:
L = length and W = width
The rectangle shown has a perimeter of 54 cm
Its length is 3 more than twice its width.
2L + 2W = 54 .... Equation 1
"length is 3 more than twice its width."
L = 2W + 3.....Equation 2
Substituting 2W + 3 for L
We have:
2L + 2W = 54 .... Equation 1
2(2W + 3) + 2W = 54
4W + 6 + 2W = 54
6W = 54 - 6
6W = 48
W = 48/6
W = 8cm
L = 2W + 3.....Equation 2
L = 2(8) + 3
L = 16 + 3
L = 19 cm
Therefore:
length of the rectangle is 19 cm and the width of the rectangle is 8 cm.
