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wel
3 years ago
10

The area of a square is equal to twice the perimeter of the square. Find the area of the square. 8 units2 64 units2 16 units2 32

units2
Mathematics
2 answers:
Aloiza [94]3 years ago
8 0
The answer is 249 square units
Anestetic [448]3 years ago
4 0
The answer is 64 units^2 because let the side length equal x.Then the area is x^2 and the perimeter is 4x. So we have the equation x^2=8x. Subtracting 8x form both sides and completing the square we get (x-4)^2=4 so x=8. That means the area is g4.
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In the given figure ABCD is a tripepizeum with AB||CD. If AO = x-1, CO = BO = x+1 and CD = x+4. Find the value of x.
Hitman42 [59]

\longmapstoThe value of "x" is 5.

\large\underline{\sf{Solution-}}

Given that,

A trapezium ABCD in which AB || CD such that

  • AO = x - 1

  • CO = BO = x + 1

  • OD = x + 4

Now,

\rm In \: \triangle  \: AOB  \: and \: \triangle \:  COD

\rm  \: \angle  \: AOB  \: and \: \angle \:  COD \:  \:  \{vertically \: opposite \: angles \}

\rm  \: \angle  \:ABO  \: and \: \angle \:  CDO \:  \:  \{alternate \: interior \: angles \}

\bf \: \triangle  \: AOB \:  \sim \:  \triangle  \: COD \:  \:  \:  \{AA \: similarity \}

\bf\longmapsto\:\dfrac{AO}{CO}  = \dfrac{BO}{DO}

\rm \longmapsto\:\dfrac{x - 1}{x + 1}  = \dfrac{x + 1}{x + 4}

\rm \longmapsto\:(x - 1)(x + 4) =  {(x + 1)}^{2}

\rm \longmapsto\: {x}^{2} - x + 4x - 4 =  {x}^{2} + 1 + 2x

\rm \longmapsto\: 3x - 4 =  1 + 2x

\rm \longmapsto\: 3x  -  2x=  1 +4

\bf\longmapsto \:x = 5

7 0
3 years ago
For the reaction 2Fe + O2 → 2FeO, how many grams of iron oxide are produced from 42.4 mol of iron?
Butoxors [25]

In the balanced reaction

2 Fe + O₂   →   2 FeO

2 moles of iron (Fe) react with 1 mole of molecular oxygen (O₂) to produce 2 moles of iron oxide (FeO). The ratio of Fe to FeO is 1-to-1, so if one starts with 42.4 mol of Fe, one will end up with the same amount of FeO, 42.4 mol.

Look up the molar mass of Fe and O:

• Fe = 55.845 g/mol

• O = 15.999 g/mol

Then the molar mass of FeO is approximately 71.835 g/mol, and so the mass of 42.4 mol of FeO is

(42.4 mol) × (71.835 g/mol) ≈ 3050 g

8 0
3 years ago
Anyone know this by chance?
zaharov [31]

Answer:

The idea of circumference and diameter should be withheld.

Step-by-step explanation:

The idea of circumference and diameter should be withheld.

8 0
3 years ago
Solve the equation. x2 + 8x − 9 = 0 A) x = 1 B) x = 9 C) x = 9 or x = −1 D) x = −9 or x = 1
yarga [219]

Answer:D. X= -9 or x= 1

X2 + 8x - 9 = 0

7 0
3 years ago
Read 2 more answers
True or false an inscribed circle is formed by two radii
Mrrafil [7]
False, an inscribed angle is not formed by radii.
6 0
3 years ago
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