Anonymous
Anonymous asked in Science & MathematicsMathematics · 1 decade ago

How do i do this problem?

8 Answers

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  • Anonymous
    1 decade ago
    Favorite Answer

    First, use the pythagorean theorem to find the length of the missing side of the the right triangle. Add 10^2 and 7^2. You'll get 149. Get the square root, which will be about 12.209. Subtract from this 4 meters on the other side of the figure, and you find that 8.209 meters is the missing right height. Subtract the 8 meters on top from the 15 on the bottom to find that the missing horizontal length is 7. Add: 7+10+8+8.209+7+4+15=about 59.209. Now, we know that the shaded figure's height is about 12.109 and the length is 15. multiply to get about 183.135 square meters.

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  • Anonymous
    1 decade ago

    QUESTION:

    Find the area of the rectangle.

    FORMULAE:

    Area of rectangle = lenght * width = lw

    Pythogras Throem = a^2 + b^2 = c^2

    where a, b and c are the sides of the right-angled triangle

    SOLUTION:

    First complete the rectangle by connecting a dotted line from the top of the rectangle to the bottom.

    Area of rectangle = length * width

    length = l

    width = w = 15

    The lenght of the rectangle which is also the hypotenuse of the rectangle (c) must be found inorder to claculate the area of the rectangle.

    Using pythogras throem, we can calculate the length/hypotenuse (c) since it is a right-angled triangle.

    a^2 + b^2 = c^2

    (10)^2 + (7)^2 = c^2

    100 + 49 = c^2

    149 = c^2

    sqrt [149] = c

    12 = c

    The lenght = l = 12

    Area of rectangle = lw = 12 * 15 = 180

    ANSWER: 180 m^2

    QUESTION:

    Calculate the perimeter of the entire object

    FORMULAE:

    Total Perimeter =

    perimeter of triangle + perimeter of rectangle.

    SOLUTION:

    Perimeter is distance or measurement around, therefore just add the lenghts of sides.

    Perimeter of Triangle = 10 + 7 + 12 = 29

    Perimeter of Rectangle = 15 + 12 + 15 = 42

    Total Perimeter = 29 + 42 = 71

    ANSWER: 71 m

    Source(s): sqrt [] represents the square root ^ represents to the power of * represents multiplication / represents division
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  • 1 decade ago

    Ok. First you have to find the hypotenuse of the right triangle.

    a^2 + b^2 = c^2

    10^2 + 7^2 = c^2

    100 + 49 = c^2

    149 = c^2

    12.2 = c

    Perimeter= 10 + 7 +15 +4 + 7 +8 + 8.2= 59.2

    Are of shaded figure.....break into 2 rectangles.

    8 x 12.2 = 97.6

    7 x 4 = 28

    __________

    Area = 125.6

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  • 1 decade ago

    Perimeter is pretty easy, so I won't bother with that.

    For the area, you need to find the hypotenuse of that triangle

    (h = sqrt( 10*10 + 7*7 ))

    Then you can find the area of the block thats 'standing up' so to speak (with width 8). Then just find the area of the second rectangle. Make sure to subtract the width of the other block first though, so it's area is actually (15-8)*(4)

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  • 1 decade ago

    you use the pythagorean theorem to find the other side of the triangle: 10^2 +7^2= 149 then take the square root and that is the height of the whole shape

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  • Eric
    Lv 5
    1 decade ago

    use the pythagorean theorem for the triangle. a2 + b2 = c2 (the numbers are exponents)

    then you know the wide of the rectangle is 12 on the top and 15 on the bottom, for the sides, the hypotenus of the triangle is the answer (which you use the pythagorean therem for)

    then use area formula

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  • you first do the pythagoreum or w.e therom. 10 squared + 7 squared = c squared.

    100 + 49 = c squared

    149=c squared

    square root 149

    which is 12.20655562

    than find the area of the shaded figure

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  • Yusuf
    Lv 4
    1 decade ago

    for the left vertical line, use the pythagoras term.

    for the middle vertical line, subtract rigth vertical line from result of pythagoras.

    for the middle horizontal line, subtract 8 from 15,

    i think u know the rest...

    good luck!

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