Charlie’s garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a

Question

Charlie’s garage has a rectangular floor space. Its length is 3 times its width. Charlie extends the width of his garage to 6 m, providing a floor area of 45 m2. what is the percentage

in progress 0
Phúc Điền 4 years 2021-09-04T01:42:51+00:00 1 Answers 8 views 0

Answers ( )

  1. Tryphena
    0
    2021-09-04T01:43:51+00:00
    Reply

    Answer:

    The percentage change is 140%

    Step-by-step explanation:

    Given

    L= 3W_1 —- initial dimension

    W_2 = 6m — new width

    A_2 = 45m^2 — new dimension

    Required

    The percentage increment

    The length remains constant because only the width is extended.

    The new area is:

    Area =Length * Width

    A_2=L * W_2

    Make L the subject

    L = \frac{A_2}{ W_2}

    Substitute values for A and W

    L = \frac{45m^2}{6m}

    L = \frac{45m}{6}

    L = 7.5m — this is the length of the garden

    Calculate the initial width:

    L= 3W_1

    Make W1 the subject

    W_1 = \frac{1}{3} * L

    W_1 = \frac{1}{3} * 7.5

    W_1 = 2.5

    So, the initial area is:

    A_1 = L_1 * W_1

    A_1 = 2.5 * 7.5

    A_1 = 18.75

    The percentage change in area is:

    \%A = \frac{A_2 - A_1}{A_1}

    \%A = \frac{45 - 18.75}{18.75}

    \%A = \frac{26.25}{18.75}

    \%A = 1.4

    Express as percentage

    \%A = 1.4*100\%

    \%A = 140\%

Leave an answer

Browse

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