SOLUTION: The Length of a rectangle is 4 yards more than twice its width. If the area is 70 square yards, find the length and width of the rectangle.
Algebra.Com
Question 1129448: The Length of a rectangle is 4 yards more than twice its width. If the area is 70 square yards, find the length and width of the rectangle.
Found 2 solutions by Boreal, MathLover1:
Answer by Boreal(15235) (Show Source): You can put this solution on YOUR website!
width=x
length=2x+4
product is area, so 2x^2+4x=70
x^2+2x-35=0, dividing by 2 and moving everything to one side
(x+7)(x-5)=0, only positive root is width=5 yds
length=14 yds
Answer by MathLover1(20850) (Show Source): You can put this solution on YOUR website!
le's the length of a rectangle be and the width
if the length is yards more than its width, we have
....eq.1
if the area is square yards, we have
..........substitute from eq.1
...simplify
....factor
since we are looking for width, we need only positive solution
=>...............the width
go back to eq.1
....eq.1
....the length
RELATED QUESTIONS
The length of a rectangle is 7yards more than twice its width. Find the dimensions of the (answered by ewatrrr)
The length of a rectangle is 4 more than the width. The area is 77 square yards. Find the (answered by srinivas.g)
the area of a rectangle is 48 square yards. its length is 10 yards less than twice the... (answered by tommyt3rd)
The length of a rectangle is 4 more than its width. The area is 60 sq. yards. Find the... (answered by mananth)
The length of a rectangle is 7 more than the width. The area is 744 square yards. Find... (answered by Alan3354)
The length of a rectangle is 9 more than the width. The area is 162 square yards. Find... (answered by Alan3354)
the length of a rectangular garden is 4 yards more than its width. The area of the garden (answered by TimothyLamb)
The length of a rectangle is 7 yards less than 3 times its width. If the perimeter is 66... (answered by ewatrrr)
the perimeter of a rectangle is 700 yards. Find the length and width of the rectangle if (answered by kibauu)