Question

The width of a rectangle measures (8.4x + 2.2) centimeters, and its length

Answer 1

The algebraic expression that will represent the perimeter in centimeters of the given rectangle is:  $(25.8x +11.2) cm$

Recall:

Perimeter of a rectangle = 2(L + W)

Given the following dimension of a rectangle:

• width (W) = (8.4x + 2.2) cm
• length (L) = (4.5x + 3.4) cm

To find the expression that represents the perimeter, plug in the given values into the formula for perimeter.

• Thus:

Perimeter = $2((4.5x + 3.4) + (8.4x + 2.2))$

• Open the bracket

Perimeter = $2(4.5x + 3.4 + 8.4x + 2.2)$

• Add like terms together

Perimeter = $2(12.9x + 5.6)$

• Multiply

Perimeter = $25.8x +11.2$

Therefore, the algebraic expression that will represent the perimeter in centimeters of the given rectangle is:  $(25.8x +11.2) cm$

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