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using algebra to solve word problems w/ perimeter - google slides examp…

Question

using algebra to solve word problems w/ perimeter - google slides
example 2
the length of a rectangle is three centimeters less than twice its width. if the perimeter of the rectangle is 18 centimeters, find its dimensions.
let w = width
let 2w - 3 = length
what math operation words are in the problem?
p = 2l + 2w
18 = 2(2w - 3)+2w
18 = 4w - 6+2w
18 = 6w - 6
+6 +6
24 = 6w
w = 4 cm
the dimensions of the rectangle are length = 5 cm and width = 4 cm
2.5 + 2.4 = 18
10 + 8 = 18
open - ended question
what is the area of the rectangle?
type your answer here
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Explanation:

Step1: Identify length and width

Length $l = 5$ cm, width $w = 4$ cm.

Step2: Apply area formula

Area of rectangle $A=l\times w$.

Step3: Calculate area

$A = 5\times4=20$ square - centimeters.

Answer:

$20$ square - centimeters