Answer:
New dimension:
Length = 15m
Width = 9m
Step-by-step explanation:
Length = 13m
Width = 7m
Area of a rectangle = length × width
New dimensions:
Length = (13 + x)m
Width = (7 + x)m
Where,
x = increase in each dimension
Area of a rectangle = length × width
(13 + x) × (7 + x) = 135
91 + 13x + 7x + x² = 135
91 + 20x + x² = 135
x² + 20x = 135 - 91
x² + 20x = 44
x² + 20x - 44 =0
Using factorization method to solve quadratic equation
x² - 2x + 22x - 44 = 0
x(x -2) + 22(x - 2) = 0
(x - 2) (x + 22) = 0
x = 2 , x = -22
The increase can not be a negative value
Therefore, the increase in the dimensions is 2 inches
New dimensions:
Length = (13 + x)m
= (13+2)m
= 15m
Width = (7 + x)m
= (7+2)m
= 9m
