The area of a rectangle is 72 in^2. The width is 6 inches greater than the length. Which expression represents?
the width?
a) w = 1 * 6
b) w = 1 + 6
c) w = 1 - 6
d) w = 6 - 1
The phrase "greater than" means to add one number to the other.
Right.
Thank you Ms.Sue :)
To find the expression that represents the width, we need to set up an equation using the given information.
Let's assume that the length of the rectangle is represented by "x" inches.
According to the problem, the width is 6 inches greater than the length. So, the width can be expressed as "x + 6" inches.
Now, we know that the area of a rectangle is given by the formula: Area = length * width.
We are given that the area of the rectangle is 72 square inches. So, we can write the equation as:
72 = x * (x + 6)
To find the width, we need to solve this equation. Let's simplify it:
72 = x^2 + 6x
Now, let's rearrange the equation to obtain a quadratic equation:
x^2 + 6x - 72 = 0
To solve this quadratic equation, we can factor it or use the quadratic formula. But for now, let's focus on finding the expression that represents the width.
We have already determined that the width is "x + 6" inches. So, the correct expression that represents the width is:
w = x + 6
Looking at the answer choices:
a) w = 1 * 6
b) w = 1 + 6
c) w = 1 - 6
d) w = 6 - 1
None of these options represent the width correctly. Therefore, none of the answer choices are correct.
To find the width, we need to solve the quadratic equation for x and substitute the value of x in the expression "x + 6".