Find the shaded area?

Find the shaded area?

I have a rectangle 5x+2 by 3x-1 with another inside it 4from top 2 from left 2 from right 1 from top

how do i find the shded area outside the inner box

Update:

Find the shaded area?

I have a rectangle 5 times+2 by 3 times-1 with another inside it 4from top 2 from left 2 from right 1 from top

how do i find the shded area outside the inner box

5 Answers

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  • 1 decade ago
    Favorite Answer

    I'm assuming you mean "1 from bottom" as you already said "4 from top." First find the dimensions of the inner box. The big rectangle has length 3x - 1. The inner box is 2 from the left and 2 from the right, so its length is (3x - 1) - 2 - 2, or 3x - 5.

    Now find the width of the inner box. its 4 from the top and 1 from the bottom, so its width is (5x + 2) - 5, or 5x -3.

    To find the shaded area, subtract the area of the big rectangle minus the area of the small rectangle.

    The area of the big rectangle is (5x + 2)(3x -1), or 15x^2 + x - 2.

    The area of the small rectangle is (3x - 5)(5x - 3), or 15x^2 - 34x + 15.

    Now subtract. The answer is 35x - 17.

    Hope that helps and good luck!

  • 1 decade ago

    The way you typed it is confusing. But you need to find x at some point, and the area of the rectangle. It looks like you left something out too. I would draw a picture, they always help clear things up.

  • 1 decade ago

    you have to find the area of the outside box and the area of the inside box then subtract them

  • 1 decade ago

    Find the area of the outer rectangle.

    Then find the are of the smaller rectangle.

    then the answer is area of the larger - the area of the smaller.

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  • Anonymous
    1 decade ago

    i think rectangles are base times hight

    b×h

    A=4×2

    A=8cm²

    i could not understand the meausurmants so this might be wrong

    Meanings

    a=area

    b=base

    h=hight

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