6. The area of a rectangular sheet of paper is 300 cm squared. The length is 5 cm more than the width a) If the width of the rectangle

Question

6. The area of a rectangular sheet of paper is 300 cm squared. The length is 5 cm more than the width
a) If the width of the rectangle is x cm, state an expression for the length of the rectangle.
b) Write and algebraically solve a quadratic equation to determine the length and
width of the rectangle.

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Vân Khánh 2 weeks 2021-07-19T06:27:55+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-07-19T06:29:01+00:00

    Answer:

    Step-by-step explanation:

    width = x

    length= x + 5

    a)  x + 5

    b) x * (x+5) = 300

    x^2 + 5x = 300

    x^2 + 5x – 300 = 0

    Δ = 25 + 1200 = 1225

    width = (-5 + 35)/2 = 15 cm

    lenght = 15 + 5 = 20 cm

    0
    2021-07-19T06:29:02+00:00

    Answer:

    a) length = x + 5  

    b) x^{2} + 5x – 300 = 0

    Step-by-step explanation:

    x = width

    x + 5 = length

    (x)(x + 5) = 300

    x^{2} + 5x = 300

    x^{2} + 5x – 300 = 0

    (x+20)(x-15)

    x = -20 or x = 15  ( disregard the -20. measurements can’t be negative)

    width = 15

    length = x+ 5 =  15+5 = 20

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Giải phương trình 1 ẩn: x + 2 - 2(x + 1) = -x . Hỏi x = ? ( )