Answer:
See explanation
Explanation:
Recall that all the sides of the square are equal
Hence;
Area of a rectangle= l * b ------- equation 1
Perimeter of a rectangle = 2(l + b)----------equation 2
Area of the rectangle = 140 square centimeters
140 = lb
l = 140/b
Perimeter of the rectangle = 54 centimeters
substituting l = 140/b into equation 2
54 = 2(140/b + b)
Multiplying through by b
54b = 280 + 2b^2
Hence;
2b^2 - 54b + 280 = 0
Solving the quadratic equation
b=20 or b=7
substituting b=20 or b=7 into l = 140/b
l = 140/20 or l = 140/7
l = 7 or 20
THEREFORE;
b=20 cm or b=7 cm
l = 7cm or 20cm