SOLUTION: area of a rectangle: A=LW The are of this rectangle is 39 square units. Find its length (the horizontal side ) and width (the vertical side) length)x+5 width) x-5 a) writ

Question 694167: area of a rectangle: A=LW
The are of this rectangle is 39 square units. Find its length (the horizontal side ) and width (the vertical side)
length)x+5
width) x-5
a) write an equation using the formula and the given information.
39=? (do not multiply)
b) solve the equation, giving only the solution(s) that make sense in the problem. The solution for x is ?
c) use the solution to find the indicated dimensions of the figure.
Length=? Width=?
Found 2 solutions by ShaunaJS, Jasmin15:
Answer by ShaunaJS(1) (Show Source): You can put this solution on YOUR website!
(x+5)(x-5)=39
x^2-5x+5x-25=39
x^2-25=39
x^2-64=0
x^2-8x+8x-64=0
x(x-8)+8(x-8)=0
(x-8)(x+8)=0
x-8=0 or x+8=0
x=8 or x=-8
8+5=13, 8-5=3, -8+5=-3, -8-5=-13
You can't have negatives as a length or width.
So x=8
Length=8+5
Width=8-5
Length=13
Width=3
Answer by Jasmin15(1) (Show Source): You can put this solution on YOUR website!
(x+5) (x-5)=39
x^2-5x+5x-25=39
x^2-25=39
x^2-64=0
x^2-8x+8x-64=0
x(x-8)+8(x-8)
(x+8)(x-8)
x=-8 or x=8
8+5=13, 8-5=3, -8+5=-3, -8-5=-13,
you can not have a negative number as a length or width, so x=8
Length=8+5
Width=8-5
Length=13
Width=3

RELATED QUESTIONS
A=LW The area of this rectangle is 21 square units. Find its length(the Horizontal... (answered by checkley79)
A rectangle and a square have the same area. If the length of the side of the square is 7 (answered by josgarithmetic)
the area of this rectngle is 16 square units. find its length (the horizontal side) and... (answered by JulietG)
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 exceeds its width by 7 units and its area is 228 square units.... (answered by Alan3354)
The length of a rectangle exceeds its width by 7 units and its area is 228 square units.... (answered by scott8148,2332)
The length of a rectangle is two less than three times its width. If the area of the... (answered by josgarithmetic,greenestamps)
The area of this rectangle is 45 square units. Find its length (the horizontal side) and... (answered by lwsshak3)