The length and width of the rectangle are 24 and 26 cm
How to find the length and width of the rectangle?
Represent the dimensions wirh x and y
So, we have
y = x + 2 --- consecutive integers
The perimeter is
P = 100
Perimeter is calculated as:
P = 2 * (x + y)
This gives
P = 2 * (x + x + 2)
Substitute P = 100
2 * (x + x + 2) = 100
Divide by 2
x + x + 2 = 50
Evaluate the like terms
2x = 48
Divide by 2
x = 24
Substitute x = 24 in y = x + 2
y = 24 + 2
Evaluate
y = 26
Hence, the length and width of the rectangle are 24 and 26 cm
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