Question

The perimeter of a rectangle is found by using the formula P = 2l + 2w, where P is the perimeter, l is the length and w is the width. Use the formula and operations of equations to fill in the missing information on the table below. Complete your work in the space provided. Include the entire process for completing the table.

Answer 1

#1: 11 cm

#2: 16.5 in

#3: 2.5 feet

Explanation:

#1

`P=2l+2w` Solve for width by substracting 2l on both sides to isolate 2w

`P-2l=2w`

or

`2w=P-2l`

Replace.

`2w=26-2(2)\\2w=26-4\\2w=22\\w=(22)/(2)\\ w=11cm`

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#2

`P=2l+2w`

`P=2(3.5)+2(4.75)\\P =7+9.5\\P=16.5in`

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#3

`P=2l+2w`

Solve for l

`2l=P-2w\\2l=7-2(1)\\2l=7-2\\2l=5\\l=(5)/(2)\\ l=2.5feet`