Asked by Math
The length of a car park is 12m longer than its with. The area of the car park is 64m². Find the dimensions of the car park?
Answers
Answered by
Bosnian
L = W + 12
A = L ∙ W = 64
( W + 12 ) ∙ W = 64
W² + 12 W = 64
Subtract 64 to both sides
W² + 12 W - 64 = 0
Try to solve this equation.
The solutions are:
W = - 16 and W = 4
Width can not be negative so W = 4 m
L = W + 12 = 4 + 12 = 16 m
A = L ∙ W = 16 ∙ 4 = 64 m²
W =
A = L ∙ W = 64
( W + 12 ) ∙ W = 64
W² + 12 W = 64
Subtract 64 to both sides
W² + 12 W - 64 = 0
Try to solve this equation.
The solutions are:
W = - 16 and W = 4
Width can not be negative so W = 4 m
L = W + 12 = 4 + 12 = 16 m
A = L ∙ W = 16 ∙ 4 = 64 m²
W =
Answered by
Bosnian
This is true if a car park is rectangular.