math

a figure is made up of a big square and 4 smaller identical squares. The area of the whole figure is 980 square inches. What is the unknown length?

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  1. Just solve for length.

    L=a/w

    Either that or you gave too little detail.

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  2. is there a width provided?

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  3. no width was given

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  4. side of large square --- x
    side of smaller square ---- y
    x^2 + 4y^2 = 980
    x^2 = 980 - 4y^2
    x = √(980 - 4y^2)

    so 980 - 4y^2 > 0
    4y^2 < 980
    y^2 < 245
    0 < y < appr 15.65 -----> 0 < x < appr 31.3

    e.g. suppose y = 7, then x = √(980 - 4(49)) = 28

    one large square of 28 by 28, and 4 smaller squares of 7 by 7

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