The width of a rectangle is fixed at 7 cm. Determine (in terms of an inequality)those lengths for which the area will be less than 161 cm2.
W = Width = 7 cm
L = Length
A = Area
A = W * L
A < 161 cm ^ 2
W * L < 161
7 * L < 161 Divide both sides by 7
L < 161 / 7
L < 23 cm
The width of a roctangle is fixed at 3 cm Determine (in terms of an inequality) those lengths for which the than 63 cm?
Well, if we imagine a rectangle with a width of 7 cm and variable length, let's call it "x", we can start by calculating the area of this rectangle. The formula for the area of a rectangle is length multiplied by width, so the area would be 7x.
To determine the lengths for which the area will be less than 161 cm², we can set up the inequality:
7x < 161
Now, let's solve this inequality by dividing both sides of the inequality by 7:
x < 23
Therefore, any length less than 23 cm will result in an area of less than 161 cm² for a rectangle with a width of 7 cm.
To determine the lengths for which the area will be less than 161 cm², we can use the formula for the area of a rectangle, which is A = length × width.
Given that the width is fixed at 7 cm, we can substitue this value into the formula:
A = length × 7
We are looking for lengths that will make the area less than 161 cm², so we set up the inequality:
A < 161
Substituting the expression for the area:
length × 7 < 161
To solve for the length, divide both sides of the inequality by 7:
length < 161 ÷ 7
Simplifying the right side:
length < 23
Therefore, the lengths for which the area will be less than 161 cm² can be expressed as an inequality: length < 23.
To determine the lengths for which the area of the rectangle will be less than 161 cm^2, we need to set up an inequality.
Let's assume the length of the rectangle is "L" cm. Since the width is fixed at 7 cm and the area of a rectangle is given by the product of its length and width, the area of the rectangle in terms of L would be:
Area = Length * Width
Area = L * 7 cm
We know that the area should be less than 161 cm^2. So, we can set up an inequality:
L * 7 cm < 161 cm^2
To isolate L, we divide both sides of the inequality by 7 cm:
L < 161 cm^2 / 7 cm
L < 23 cm
Therefore, the length of the rectangle should be less than 23 cm for the area to be less than 161 cm^2. In terms of an inequality, the solution is L < 23 cm.