SOLUTION: The area of this rectangle is 45 square units. Find its length (the horizontal side) and the width (the verticle side). Length is x+6, width is x-6 a) Write an equation using th

Question 463347: The area of this rectangle is 45 square units. Find its length (the horizontal side) and the width (the verticle side). Length is x+6, width is x-6
a) Write an equation using the formula and the given information.
45=
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=
Answer by lwsshak3(11628) (Show Source): You can put this solution on YOUR website!
The area of this rectangle is 45 square units. Find its length (the horizontal side) and the width (the verticle side). Length is x+6, width is x-6
a) Write an equation using the formula and the given information.
45=
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=
...
Given:
length=(x+6)
width=(x-6)
Area=45 sq units
..
Equation:
a) Area=length * width=(x+6)(x-6)=(x^2-36) (difference of two squares)
45=x^2-36
x^2=45+36=81
...
Solution:
b)x=�√81=�9
x=9
or
x=-9 (reject, dimension>0)
..
Dimensions:
c) length=x+6=9+6=15 units
width=x-6=9-6=3 units
RELATED QUESTIONS
the area of this rectngle is 16 square units. find its length (the horizontal side) and... (answered by JulietG)

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)

area of a rectangle: A=LW The are of this rectangle is 39 square units. Find its... (answered by ShaunaJS,Jasmin15)

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 the rectangle is 84 square inches. Find its length with width (x+3)bottom... (answered by rfadrogane)

a rectangle has a length twice its width. A square with the same area has a side 2 units... (answered by stanbon)

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)