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Question

The length of a rectangle is 4/3 its width, w .

Which expression represents the perimeter of the rectangle?

Answer Choices

A. 4/3w+2w


B. 4(4/3w+w)


C. 4×4/3w


D. 2(4/3w+w)

Part 2

The perimeter of the rectangle from Part 1 is 28 inches.

What is the area of the rectangle, in square inches?


    ?    square inches

Answer 1

The perimeter (P) of a rectangle is equal to the sum of its four sides:  l + l + w + w.  Since l = 4/3w

 

P = 4/3w + 4/3w + w + w

P = 8/3w + 2w

 

Also:  P = 2(l + w) = 2(4/3w + w)

 

Part II:  Since P=28 inches and area (A) =l x w

 

P = 28 = 2(4/3w + w)

28 = 14/3w

w = 6

l = (4/3)6 = 8

 

A = 8(6) = 48 square inches