Question 783929
area of rectangle = length * breadth
76 = l * b
l = 76/b
Perimeter = 2*length + 2*breadth
46 = 2l + 2b
Substitute l = 76/b
46 = 2(76/b) + 2b
46 = 152/b + 2b
Common denominator = b
46b = 152 + 2b^2
Sort into equation
2b^2 - 46b + 152 = 0
Divide by 2
b^2 - 23b + 76 = 0
(b - 4)(b - 19) = 0
b = either 4 or 19 inches.
Hope this helps.
:-)