Mathematics

Question

please help me with this question
please help me with this question

2 Answer

  • Area of that shape = Area of big rectangle - area of the two little triangles


    A = 9 * (3.5 + 2 ) - 2*2/2 - 5*2/2

    A = 9 * 5.5 - 2 - 5

    A = 49.5 - 7

    A = 42.5


  • Try breaking the shape into smaller shapes that you know the formulas to.
    for example, you can see two triangles. The formula for area of a triangle is 1/2(base)(height).
    so let's find the area of the left triangle:
    1/2(2)(2)= 2 units^2
    The right triangle:
    1/2(5)(2)= 5 units^2
    next, let's to the little square on the bottom. you can see it's height is 2, but in order to know it's width, try looking at the very top line of the big shape. it measures 9 units. the bases of the triangle together make 7 units. this means the top of the square must be 2 units because 9-7=2
    the area of a square is length x width, so:
    2 x 2= 4 units^2
    finally, let's find the area of the large rectangle. the area for rectangles is the same as for squares, so:
    9 x 3.5 = 31.5 units^2

    Now, you're finally ready to add them together!
    2 units^2 + 5 units^2 + 4 units^2 + 31.5 units ^2 =

    42.5 units^2
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