The length of a side of a square is (2x – 1) cm. 1. What is the perimeter of the square? 2. What is the area of the square?

Question

The length of a side of a square is (2x – 1) cm.
1. What is the perimeter of the square?
2. What is the area of the square?
3. Is it possible that x is 0.25? Justify your answer.

in progress 0
Yến Oanh 5 years 2021-08-19T18:29:15+00:00 1 Answers 39 views 0

Answers ( )

  1. ngockhue
    0
    2021-08-19T18:31:08+00:00
    Reply

    Answer:

    1.8x-4

    2.4x^2 -4x +1

    3. No, while using it in perimeter it does get the same answer for both the beginning equation and final, area does not get the same answer in both.

    Step-by-step explanation:

    Its a square so all sides are equal.

    1. Perimeter= 4 * side length

    P=4(2x-1)

    (4*2x)+(4*-1)

    8x-4

    2. Area=length x width

    (2x-1)(2x-1)

    You can use FOIL for this.

    Firsts:2x*2x = 4x^2

    Outsides:2x*-1 = -2x

    Insides:-1*2x = -2x

    Lasts:-1*-1 = 1

    Now put them together with variables first.

    4x^2 -2x -2x +1

    Combine like terms

    4x^2 -4x +1

    Area= 4x^2 -4x +1

    3. Replace x in perimeter.4(2x-1)

    4(2(0.25)-1)

    4(.5-1)

    2-4

    -2

    Now in 8x-4.

    8(.25)-4

    2-4

    -2

    Both are equal so it works here

    Area:(2x-1)(2x-1)

    2(.25)-1

    -.5*-.5

    -1

    Area final: 4x^2 -4x +1

    4(.25)^2 -4(.25) +1

    1^2-1+1

    1-1+1

    1

    No its not equal so it does not work.

Leave an answer

Browse

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