Answer:
1.5m
Step-by-step explanation:
Let the length of the pathway across all its side be x. This means we are adding a length of 2x to both the length and breadth to 12+2x and 16+2x respectively.
The new area thus becomes:
(12+2x)(16+2x) = 285
24x + 32x + 192 + 4x^2 = 285
4x^2 + 56x + 192 = 285
4x^2 + 56x + 192 - 285 =0
4x^2 + 56x -93 = 0
4x^2 + 62x - 6x - 93 = 0
2x( 2x + 31) - 3(2x + 31) = 0
(2x - 3)(2x + 31) = 0
This means x = 3/2 or -31/2
Since length cannot be negative , we choose the first and neglect the second meaning our answer is 3/2 which is 1.5 meters
Hello there!

Explanation:
↓↓↓↓↓↓
First you had to subtract by 228 from both sides of the equation.

Simplify

Then you divide by 4 from both sides of the equation.

Simplify it should be the correct answer.

Answer⇒⇒⇒⇒y=31
Hope this helps!
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-Charlie
The measure of the angle TRS is 34 degrees
<h3>Line and angles</h3>
The point where two lines meet is known as an angle
Given the following parameters
<QRS = 88 degrees
<QRT = 54 degrees
Using the expression
<QRS = <QRT + <TRS
Substitute the given parameters
88 = 54 + <TRS
<TRS = 88 - 54
<TRS = 34 degrees
Hence the measure of the angle TRS is 34 degrees
Learn more on lines and angles here: brainly.com/question/25770607
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