Question

A.CED.1/A.REI.4 Tonya has a rectangular rug as shown. The rug is 4 feet longer than it is wide. (Part A) Create an expression that can be used to determine the length and the width of the rug. Write your answers in terms of x.
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Answer 1

Answer:

Width of the rug = x feet

Length of the rug = (x + 4) feet

Step-by-step explanation:

Let

Width of the rug = x feet

The rug is 4 feet longer than it is wide.

Length of the rug = (x + 4) feet

For instance, to find the area of the rug

Area of a rectangular rug = length × width

= (x + 4) * x

= x² + 4x

Area of a rectangular rug = x² + 4x

To find the perimeter of the rug

Perimeter of the rectangular rug = 2(length + width)

= 2{(x + 4) + x}

= 2(x + 4 + x)

= 2(2x + 4)

= 4x + 8

Perimeter of the rectangular rug = 4x + 8