the length of the rectangle is 3 less than twice the width.If the area is 9 square ft,the length and width of the rectangle.
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the length of the rectangle is 3 less than twice the width.If the area is 9 square ft,the length and width of the rectangle.
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Answer:
length = 3 ft
width = 3 ft
Step-by-step explanation:
let x be the width of the rectangle
length = 2x - 3
Area of rectangle = lw
substitute:
x(2x-3)=9
2x²-3x=9
2x²-3x-9 = 0 (transpose)
(2x+3)(x-3)=0 (factor)
x= -3/2, 3
x can't be negative because the dimensions can't be negative. therefore, x=3
substitute:
width = 3 ft
length = 2×3 -3 = 6 - 3 = 3 ft