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An equilateral triangle has a side length of 3x + 4. A square has a side length of 2x + 10. If they have the same perimeter, what is the area of the square

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  • 1 month ago
    Favorite Answer

    Perimeter of a triangle = the sum of the 3 equal sides = 3(3x+4) = 9x + 12

    Perimeter of a square = the sum of the 4 equal sides = 4(2x+10) = 8x + 40

    set the perimeters equal:

    9x + 12 = 8x + 40

    solve for x:

    x = 28

    since a side of the square is 2x + 10, put x=28 in and calculate:

    2(28) + 10 = 66

    Now that you know that one side of the square is length 66, you can calculate the area by multiplying 66 x 66 (or 66 squared) which equals 4,356 square units.

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  • David
    Lv 7
    1 month ago

    Each 3 sides of equilateral triangle = 88 and perimeter 3*88 = 264

    Each 4 sides of square = 66 and perimeter 4*66 = 264

    Area of square: 66*66 = 4,356 square units

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  • 1 month ago

    3(3x + 4) = 4(2x + 10)

    9x + 12 = 8x + 40

    solve for x, see what 2x + 10 is then square that value.

    • Eishal1 month agoReport

      oh ok thank uu

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