SOLUTION: The length of a rectangular lot is 4m (meters) longer than the width. If the area of the lot is 12m^2, what are its dimensions?
Algebra.Com
Question 980310: The length of a rectangular lot is 4m (meters) longer than the width. If the area of the lot is 12m^2, what are its dimensions?
Answer by Cromlix(4381) (Show Source): You can put this solution on YOUR website!
Hi there,
Make width = 'x'
Length = 4 + x
Area of a rectangle
= Length x Width
12m^2 = (4 + x)x
12m^2 = 4x + x^2
Put in ax^2 + bx^2 + c = 0 form
x^2 + 4x - 12 = 0
Factorise
(x + 6)(x - 2)= 0
x + 6 = 0
x= -6 (No answer as -ve)
x - 2 = 0
x = 2
Therefore:
Width = 2m
Length = 6m
Hope this helps:-)
RELATED QUESTIONS
the length of a rectangular lot is 4m longer than the width. if the area of the lot is 12 (answered by ikleyn)
The length of a rectangular parking lot is 36m longer than its width. The area of the... (answered by josgarithmetic)
Christian is planning to fence his vacant lot for a garden. The desired length of the... (answered by MathLover1)
Christian is planning to fence his vacant lot for a garden. The desired length of the lot (answered by ikleyn)
the width of a rectangular lot is x meters and its length is 5 meters more than its... (answered by mananth)
The length of a rectangular building lot is twice its width. If the perimeter is 240... (answered by askmemath)
A rectangular parking lot has an area of 2400ft^2. If the width is 20 feet less than the... (answered by checkley79)
Eric wants to know the dimensions of a rectangular lot. The lot has an area of 80 cm^2.... (answered by ikleyn)
The length of a rectangular lot is 12 feet longer than its width. The perimeter of the... (answered by Paul)