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Studentka2010 [4]
2 years ago
15

A parallelogram is shown below:

Mathematics
1 answer:
nordsb [41]2 years ago
7 0

9514 1404 393

Answer:

  A.  2 square feet

  B.  draw a diagonal; 1 square foot

Step-by-step explanation:

A. The area of a parallelogram is given by the formula ...

  A = bh

Here the base (b) is 3 feet, and the height (h) is 2/3 ft. The area is ...

  A = (3 ft)(2/3 ft) = 2 ft^2 . . . . area of the parallelogram

__

B. <em>Drawing a diagonal</em> (AC or BD) will divide the figure into two congruent triangles. Each triangle has the same base and height as the original parallelogram. The area of one of the triangles is given by ...

  A = 1/2bh

Using the given dimensions, ...

  A = 1/2(3 ft)(2/3 ft) = 1 ft^2 . . . . area of one triangle

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2 years ago
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Step-by-step explanation:

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5 0
2 years ago
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Aleksandr-060686 [28]

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Step-by-step explanation:

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3 0
3 years ago
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The longest side of the right triangle is 2 feet more than the middle side and the middle side is 1 foot less than twice the sho
Ket [755]
A right triangle's longest side is the hypotenuse
let x=longest, y=middle, and z=shortest
x=y+2
y=2z-1
therefore x=(2z-1)+2=2z+1
find z
z^2+y^2=x^2 by Pythagorean theorem
plug in x and y in terms of z
z^2+(2z-1)^2=(2z+1)^2
z^2+4z^2-4z+1=4z^2+4z+1
subtract the right-hand side's value from the left-hand side's
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z(z-8)=0
z=0, 8
z cannot be zero as the sides must have some value to it.
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