The width of a rectangle is fixed at 4 cm. Determine (in terms of an inequality) those lengths for which the area will be less than 88cm^2. Can anybody show me how to do this problem with out giving me the answer, please?
88>4L
divide both sides by 4.
Why did the rectangle go to therapy? Because it was having some area problems! Now, let's tackle this challenge together.
Let's call the length of the rectangle "l". We know that the area of a rectangle is given by the formula A = lw, where A is the area, l is the length, and w is the width. In this case, the width is fixed at 4 cm.
To determine the lengths for which the area will be less than 88 cm², we need to set up an inequality. The inequality will represent the condition that the area is less than 88 cm².
So, we have A < 88 cm². Substituting A = lw, we get lw < 88 cm².
Since we know the width is fixed at 4 cm, we can rewrite the inequality as l * 4 < 88 cm².
To solve for l, we divide both sides of the inequality by 4: l * 4 / 4 < 88 cm² / 4.
This simplifies to l < 22 cm.
So, any length less than 22 cm will result in an area less than 88 cm².
I hope that explanation was more entertaining than a rectangle trying to escape an escape room!
To determine the lengths of a rectangle for which the area will be less than 88 cm², we can use the formula for the area of a rectangle:
Area = Length × Width
Given that the width is fixed at 4 cm, we can substitute this value into the formula:
Area = Length × 4
To find the range of lengths for which the area is less than 88 cm², we need to create an inequality. We can rewrite the formula as:
Length × 4 < 88
Now, we can solve this inequality to find the range of lengths:
1. Divide both sides of the inequality by 4:
(Length × 4)/4 < 88/4
2. Simplify:
Length < 22
Therefore, the length of the rectangle should be less than 22 cm for the area to be less than 88 cm².
Sure! To solve this problem, we need to use the formula for the area of a rectangle, which is given by multiplying the length and width of the rectangle: Area = Length x Width.
In this case, we are given that the width of the rectangle is fixed at 4 cm. Let's denote the length of the rectangle as L (in cm).
According to the problem, we want to find the lengths for which the area will be less than 88 cm^2. Therefore, we need to set up an inequality.
1. Write the inequality: The area of the rectangle (A) is less than 88 cm^2.
A < 88
2. Plug in the values: The area of a rectangle is obtained by multiplying the length by the width.
L x 4 < 88
3. Simplify the inequality: Multiply 4 by L.
4L < 88
4. Solve for L: Divide both sides of the inequality by 4.
L < 22
Therefore, the inequality that represents the lengths (L) for which the area of the rectangle will be less than 88 cm^2 is L < 22.