A rectangle is 8cm long and back broad. Find the range of valued of b if the perimeter of the range is not greater than 50cm and not less than
back broad?
range of valued of b?
not less than --??
Please proofread, correct, and repost. We'll try to help you then.
To find the range of values for b, we first need to determine the perimeter of the rectangle. The perimeter of a rectangle can be found by adding the lengths of all four sides.
In this case, the length of the rectangle is given as 8 cm, and the breadth of the rectangle is represented by b (unknown). Let's assume the breadth is b cm.
The formula for the perimeter of a rectangle is given by:
Perimeter = 2 * (Length + Breadth)
Substituting the given values:
Perimeter = 2 * (8 + b)
Since the perimeter should not be greater than 50 cm and not less than 14 cm, we can set up the following inequalities:
14 ≤ 2 * (8 + b) ≤ 50
Now, let's solve these inequalities in order to find the range of values for b.
First, we simplify the inequalities:
7 ≤ 8 + b ≤ 25
Then, we subtract 8 from each part of the inequality:
7 - 8 ≤ b ≤ 25 - 8
Simplifying further:
-1 ≤ b ≤ 17
Therefore, the range of values for b is -1 ≤ b ≤ 17.