the length of this rectangle is 3 cm greater than its width ,as represented in this figure below . the total perimeter is greater than 24 cm. rectangle under bottom*
__________
__________
w+3
A. write the inequality that could be solved to find w,the width of the rectangle
If I understand your poorly worded problem.
w = width
w + 3 = length
P > 24
P = 2w + 2L
2w + 2(w + 3) > 24
Solve for w, the width
Thats how its written on the paper Sr. I couldn't display the rectangle. so yeah!
To find the width of the rectangle, we can set up an inequality equation based on the given information. Let's let w represent the width:
Given information:
- The length of the rectangle is 3 cm greater than its width, which means the length is (w+3).
- The total perimeter is greater than 24 cm.
The perimeter of a rectangle is calculated by adding the lengths of all its sides:
Perimeter = 2(length + width)
In this case:
Perimeter > 24 cm
Substituting the length and width values:
2((w+3) + w) > 24
Simplifying the equation:
2w + 6 + 2w > 24
4w + 6 > 24
4w > 24 - 6
4w > 18
So, the inequality that could be solved to find the width (w) of the rectangle is 4w > 18.