the length of the classroom is 5m longer

Answered question

2022-02-21

the length of the classroom is 5m longer than the breath.if the perimeter is at most 90m,find the higest value of the breath(answer in inequlities)

Answer & Explanation

Vasquez

Vasquez

Expert2023-04-23Added 669 answers

We can begin by using algebra to represent the problem mathematically. Let's let "x" be the length of the breath in meters. Then, according to the problem, the length of the classroom is "x + 5" meters.

The perimeter of a rectangle is given by the formula: P=2(l+w), where P is the perimeter, l is the length, and w is the width. Using this formula for our rectangle, we get:

P=2(x+5+x)
P=4x+10

The problem states that the perimeter is at most 90 meters, so we can write:

4x+1090

To solve for x, we'll start by subtracting 10 from both sides of the inequality:

4x80

Next, we'll divide both sides by 4:

x20

Therefore, the highest value for the breath is 20 meters. We can write this as an inequality:

x20

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