the length of. arectactangular floors is4m longer than it's worth. the area of the floor is 45m2
1. If x represents the width of the floor, what expression represents the
length of the floor?
2. Formulate an equation relating to the width, length and area of the
floor. Explain how you arrived at the mathematical sentence
3. How would you describe the equation that you formulated?
4. Using the equation, how will you determine the length and the width of
the floor?
5. What are the dimensions of the floor?
1. If x represents the width of the floor, what expression represents the
length of the floor?
2. Formulate an equation relating to the width, length and area of the
floor. Explain how you arrived at the mathematical sentence
3. How would you describe the equation that you formulated?
4. Using the equation, how will you determine the length and the width of
the floor?
5. What are the dimensions of the floor?
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Answer:
1. length=x+4
2. 45m²=(x+4)(x). It comes from the formula A=lw and I substituted the givens.
3. The equation that I formulated will determine the length and width of the floor.
4. Simplify it.
5. 9 m x 5 m
Step-by-step explanation:
(x+4)(x)=45
x²+4x=45
x²+4x-45=0
(x+9)(x-5)=0
x-5=0 x+9=0
x=5 x=-9
We will use the 5 because measurements cannot be negative.
width=5 m
length=x+4
length=5+4
length=9 m