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25 July, 00:19

The bricks are built to form a garden. The perimeter of the outer square is 264 centimeters. The area of the inner square is 900 square centimeters. What is the length and width of the brick.

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Answers (2)
  1. 25 July, 00:38
    0
    Length: 124.7875 cm

    Width: 7.2125 cm

    Step-by-step explanation:

    The perimeter of this area can be calculated as:

    P = 2L + 2W

    Where P is the perimeter, L is the length and W is the width

    If the perimeter is 264 centimeters, we have that:

    2L + 2W = 264

    L + W = 132

    The area can be calculated as:

    A = L*W

    Where A is the area.

    If the area is 900 cm2, we have that:

    L*W = 900

    From the first equation, we have that L = 132 - W

    Using this value in the area equation, we have:

    (132-W) * W = 900

    132W - W2 = 900

    W2 - 132W + 900 = 0

    delta = b2 - 4ac = 17424 - 3600 = 13824

    sqrt (delta) = 117.575

    W1 = (132 + 117.575) / 2 = 124.7875 cm

    W2 = (132 - 117.575) / 2 = 7.2125 cm

    Using the smaller value for W, the length will be:

    L + 7.2125 = 132

    L = 124.7875 cm
  2. 25 July, 00:42
    0
    The length and width is 44cm for the outer, 30cm for the inmer

    Step-by-step explanation:

    For the outer square

    264 centimeters is the perimeter, a square has four equal sides so the length and width will be the same

    Formula for perimeter is * +*+*+ * = 4*

    So 4 * = 264

    *=264:4

    * = 44

    So one side is equal to 44cm and since all sides are equal length and width = 44cm

    For the inner square

    The area is equal to 900 square centimeters

    The formula for area is length * breath sine a square has equal sides

    Length and breath is the same l*b

    So

    L*B = 900 square centimeters

    The square root of 900 = 30

    30*30 = 900

    So the answers is 30cm for the length and width of the square
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