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One side of a bedroom is 2 inches shorter than twice the other side. If the perimeter is 20 inches, find the measure of the sides an area. Use RESA (Represent, Equate, Solution, Answer)

Sagot :

Representation:
Width: x
Length:  2x - 2
Perimeter:  20 inches

Equation: 
Perimeter formula:  2L + 2W = P
2(2x-2) + 2(x) = 40

Solution:
2(2x-2) + 2(x)
4x - 4 + 2x = 20
4x + 2x = 20 + 4
6x = 24
6x/6 = 24/6
x = 4

Answer:
x = 4
The dimensions (sides):
Width: x ⇒ 4 inches
Length" 2x - 2 ⇒ 2(4) - 2 = 8 - 2 = 6 inches

Area = L × W
Area = (6 inches) (4 inches)
Area = 24 sq. inches

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