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A study area inside the living room has a width that is 4 inches less than the length. The area is 12 square inches. Find the dimensions. Use RESA (Represent, Equation, Solution, Answer)

Sagot :

Representation:
x = length
x- 4 = width ( four inches less than the length)
12 square inches = Area

Use the formula Area   = L × W to find the dimensions.

Equation:
L × W = Area
(x) (x-4) = 12

Solution:
x² - 4x = 12
Transform to quadratic equation, ax² + bx + c = 0
x² - 4x - 12 = 0
Solve by factoring:
(x - 6) (x + 2) = 0
x - 6 = 0                     x + 2 = 0
x = 6                          x = -2

Choose the positive root, x = 6

Answer:
Length = x               ⇒ x = 6 inches
Width = x - 4            ⇒ 6 - 4 = 2 inches

The dimensions are 6 inches for length and 2 inches for width.

To check:
(6 inches) (2 inches) = 12 square inches
12 square inches = 12 square inches.

(On a lighter note: Who wants to be in a study area with dimensions of 2 inches and 6 inches?  An adult shoe size is at average 7 to 8 inches.  Not even a left or right shoe would fit in.  This problem is not a real-life application. Or maybe, it's just me :-)  )







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