One side of a rectangle is 18 inches and the other side is x inches. What values of x will make the perimeter less than 62 inches?
2(18+x) < 62
36+2x < 62
2x < 26
x < 13
Well, let me do some quick calculations while juggling some numbers. To find the perimeter of a rectangle, we add up the lengths of all four sides. In this case, we have one side that is 18 inches, and the other side is x inches. So, the perimeter will be 2(18) + 2(x), which simplifies to 36 + 2x inches.
Now, we want the perimeter to be less than 62 inches. So we can set up an inequality: 36 + 2x < 62.
Let me subtract 36 from both sides of the equation... *poof*.
2x < 26.
And now, dividing both sides by 2, the magical quotient appears.
x < 13.
So, any value of x less than 13 inches will make the perimeter of the rectangle less than 62 inches. It's like finding a treasure, but with numbers.
The perimeter of a rectangle is given by the formula P = 2L + 2W, where L represents the length and W represents the width.
In this case, we know that one side of the rectangle is 18 inches, so L = 18. The other side is given by x inches, so W = x.
We want to find the values of x that will make the perimeter less than 62 inches, so we can set up the following inequality:
2L + 2W < 62
Substituting the values of L and W, we have:
2(18) + 2x < 62
Simplifying the equation, we get:
36 + 2x < 62
Subtracting 36 from both sides, we have:
2x < 26
Dividing both sides by 2, we get:
x < 13
Therefore, any values of x less than 13 will make the perimeter of the rectangle less than 62 inches.
To find the perimeter of a rectangle, you add up the lengths of all its sides. In this case, we have one side measuring 18 inches and the other side measuring x inches.
The perimeter, denoted by P, can be computed by the formula:
P = 2 * (length + width)
Substituting the given values, we get:
P = 2 * (18 + x)
Now, we want to determine the values of x that will make the perimeter less than 62 inches. Thus, we can set up the following inequality:
2 * (18 + x) < 62
To solve this inequality, let's start by simplifying it:
36 + 2x < 62
Next, let's isolate x on one side of the inequality by subtracting 36 from both sides:
2x < 62 - 36
2x < 26
Finally, to obtain the value of x, divide both sides of the inequality by 2:
x < 26/2
x < 13
Therefore, the values of x that will make the perimeter less than 62 inches are any values less than 13.