The perimeter of a rectangle is 54 cm. Find its length and width if the length is represented by 3x + 2 and the width is represented b

Question

The perimeter of a rectangle is 54 cm. Find its length and width if the length is represented
by 3x + 2 and the width is represented by 2x – 5.

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Gerda 2 months 2021-09-02T05:24:41+00:00 2 Answers 1 views 0

Answers ( )

    0
    2021-09-02T05:25:56+00:00

    Answer:

    Length = 20 cm

    Width = 7 cm

    Step-by-step explanation:

    Given that :

    • The perimeter of a rectangle is 54 cm.
    • Its length and width if the length is represented by 3x + 2 and the width is represented by 2x – 5.

    To find :-

    Find the measures of length and width

    Solution :-

    • To calculate the measures of length and width of rectangle . we gave given in question that perimeter of rectangle is 54 cm and length is represented by 3x + 2 and width is represented by 2x-5.

    Using Formula :-

    Perimeter of rectangle = 2 ( l + b )

    Where,

    • l is the length and w is the width of rectangle.
    • Perimeter = 54 cm

    Substitute the values

    54 cm = 2 ( 3x + 2 + 2x – 5 )

    Combine like terms

    54 cm = 2 ( 3 x + 2 x + 2 – 5)

    54 cm = 2 ( 5 x -3)

    Simplify both sides of the equation.

    54 = 2( 5x− 3 )

    54 = (2)(5x) + (2)(−3). .. ( Distribute )

    54 = 10x +−6

    54 = 10x −6

    Flip the equation.

    10x −6 = 54

    Add 6 to both sides.

    10x −6 + 6 = 54 + 6

    10x = 60

    Divide both sides by 10.

    10x / 10 = 60 / 10

    x = 6

    Therefore ,

    Length = 3x + 2 =3 ×6 + 2 = 18 + 2 = 20 cm

    Width = 2x- 5 = 2 × 6 – 5 = 12 – 5 = 7 cm

    0
    2021-09-02T05:26:30+00:00

    Answer:

    length = 20

    width = 7

    Step-by-step explanation:

    Perimeter of a rectangle is

    P = 2(l+w)

    54 = 2( 3x+2 + 2x-5)

    Combine like terms

    54 = 2( 5x -3)

    Divide each side by 2

    54/2 = 5x-3

    27 = 5x-3

    Add 3 to each side

    27+3 = 5x-3+3

    30 = 5x

    Divide by 5

    30/5 = 5x/5

    6 =x

    3x+2 = 3(6)+2 = 18+2 = 20

    2x-5 = 2(6)-2 =12-5 =7

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