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2 years ago

How do you find The value of a parallelogram

Mathematics

1 answer:

lina2011 [118]2 years ago

4 0

The formula is A=B*H (A=BxH)

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Sara is working on a Geometry problem in her Algebra class. The problem requires Sara to use the two quadrilaterals below to ans

zloy xaker [14]

Part A:

Given a square with sides 6 and x + 4. Also, given a rectangle with sides 2 and 3x + 4

The perimeter of the square is given by 4(x + 4) = 4x + 16

The area of the rectangle is given by 2(2) + 2(3x + 4) = 4 + 6x + 8 = 6x + 12

For the perimeters to be the same

4x + 16 = 6x + 12
4x - 6x = 12 - 16
-2x = -4
x = -4 / -2 = 2

The value of x that makes the <span>perimeters of the quadrilaterals the same is 2.

Part B:

The area of the square is given by

$Area=(x+4)^2=x^2+8x+16$

The area of the rectangle is given by 2(3x + 4) = 6x + 8

For the areas to be the same

$x^2+8x+16=6x+8 \\ \\ \Rightarrow x^2+8x-6x+16-8=0 \\ \\ \Rightarrow x^2+2x+8=0 \\ \\ \Rightarrow x= \frac{-2\pm\sqrt{2^2-4(8)}}{2} \\ \\ = \frac{-2\pm\sqrt{4-32}}{2} = \frac{-2\pm\sqrt{-28}}{2} \\ \\ = \frac{-2\pm2i\sqrt{7}}{2} =-1\pm i\sqrt{7}$

Thus, there is no real value of x for which the area of the quadrilaterals will be the same.
</span>

7 0

2 years ago

Select the values that make the inequality g < 2 true.

Semmy [17]

Answer:

-10, -3, -2.001, 1, -7, -2.1, -5, -2.01

Step-by-step explanation:

6 0

2 years ago

What is the surface area of the right prism below?

-Dominant- [34]

Answer:

120 sq. units

plus them all and add 100

3 0

2 years ago

Read 2 more answers

What is the value of x in 2(5x) = 14?

Ray Of Light [21]

Answer:

x= 7/5

Step-by-step explanation:

6 0

2 years ago

Read 2 more answers

A. find the value of a. B. Find the value of the marked angles.

Marat540 [252]

The marked angles are opposite angles, and as such they have the same measure. So, we have

$6a+11 = 2a+83$

Subtract 2a and 11 from both sides to get

$4a = 72$

Divide both sides by 4 to get

$a = \dfrac{72}{4} = 18$

Now that we know the value of a, we can compute the measure of the angles. We can also verify that the solution we found is correct by verifying that both expressions actually give the same result:

$6a+11 = 6\cdot 18 + 11 = 119$

$2a+83 = 2\cdot 18 + 83 = 119$

8 0

2 years ago

Read 2 more answers