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ANSWER
Length of the playing alley = 9m
Width of the playing alley = 3m
STEP-BY-STEP EXPLANATION:
Given information
<em>The perimeter of a rectangular playing alley = 24 m</em>
<em>The length of the alley is three times the width</em>
Let l represents the length of the alley
Let w represents the width of the alley
Step 1: Write the formula for calculating the perimeter of a rectangle
Where l is the length and w is the width of the rectangle
Recall, length = 3 times the width of the alley
Mathematically,
Step 2: Substitute the value of l = 3w into the above formula
Step 3: Solve for w
From the calculations above, you will see that the width of the playing alley is 3m
Step 4: Solve for l
Hence, the length of the playing alley is 9m