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The length and width of a rectangle are consecutive even integers. The perimeter of the rectangle is 100 centimeters. Find the length and width of the rectangle.

Sagot :

MrRoyalidn

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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