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The width of a rectangle measures (6.1t+3.3u)(6.1t+3.3u) centimeters, and its length measures (6.3t-6.1u)(6.3t−6.1u) centimeters. Which expression represents the perimeter, in centimeters, of the rectangle?

Respuesta :

The expression 4(6.1u) (6.3t-6.1u) will represent the perimeter of the given rectangle.

What is a rectangle?

The rectangle is a geometrical figure in which opposite sides are equal.

The angle between any two consecutive sides will be 90 degrees.

Area of rectangle = length × width.

Perimeter of rectangle = 2( length + width).

Let's suppose

6.1t = x

3.3u = y

Now, the Perimeter of the rectangle is given by

P = 2 (length + width)

So,

P = 2[(x - y)(x - y) +  (x + y)(x + y)

P = 2[(x - y)² + (x + y)²]

P = 2[x²+y² - 2xy + x² + y² + 2xy]

P = 4(x² + y²)

So,

P = 4[ (6.1t)² + (3.3u)² ]

Hence "The expression 4(6.1u) (6.3t-6.1u) will represent the perimeter of the given rectangle".

For more about rectangles,

https://brainly.com/question/15019502

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