half the perimeter of a ractangular garden whose length is 4m more than its width is 36m.lengh of the garden will be?
L + (L - 4) = 36
To find the length of the garden, we need to follow these steps:
Step 1: Let's assume that the width of the rectangular garden is "x" meters.
Step 2: Since the length is 4 meters more than the width, we can write the length as "x + 4" meters.
Step 3: The formula for the perimeter of a rectangle is given by: Perimeter = 2(length + width)
Step 4: We are given that half the perimeter is 36 meters. So, the formula becomes: (Perimeter/2) = 36
Step 5: Substituting the values, we get: (2(x + 4 + x)/2) = 36
Step 6: Simplifying the equation: (2*2x + 8)/2 = 36
Step 7: Expanding further: (4x + 8)/2 = 36
Step 8: Multiplying both sides by 2 to remove the fraction: 4x + 8 = 72
Step 9: Subtracting 8 from both sides: 4x = 64
Step 10: Dividing by 4 on both sides: x = 16
Step 11: Finally, substituting the value of x into the equation for length: length = x + 4 = 16 + 4 = 20 meters
Therefore, the length of the rectangular garden is 20 meters.