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kati45 [8]
2 years ago
14

Find the width of a rectangle 25 feet and the perimeter is 80​

Mathematics
2 answers:
Thepotemich [5.8K]2 years ago
5 0

The width of rectangle = 15 feet .

Step-by-step explanation:

<h2>Given = </h2>
  • Perimeter of rectangle = 80
  • Length of rectangle = 25 feet
<h2>To Find = </h2>
  • width or Breadth of rectangle.

As we know ,

Perimeter of rectangle = 2× (L + B )

  • where L is Length and B is width or Breadth.

Filling values in the formula :-

=> 80 = 2 ( 25 + B )

  • we don't know the value of ' B' so we put ' B' as it is .

=> 80/2 = 25 + B

=> 40 = 25 + B

  • when we combine like terms one side signs will be changed from + to - .

=> B = 40 - 25

=> B = 15 feet .

<h2>________________</h2>

Properties of rectangle :

  1. It is a quadrilateral
  2. each angle is 90° .
  3. sum of angles is 360°
  4. Opposite sides are equal.
  5. Diagonals bisect each other.

Perimeter of rectangle = 2× L+B

Area = L×B .

lukranit [14]2 years ago
3 0

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

  • Given - <u>a </u><u>rectangle </u><u>with </u><u>length</u><u> </u><u>2</u><u>5</u><u> </u><u>feet </u><u>and </u><u>perimeter </u><u>8</u><u>0</u><u> </u><u>feet</u>

  • To calculate - <u>width </u><u>of </u><u>the </u><u>rectangle</u>

We know that ,

\bold{Perimeter \: of \: rectangle = 2(l + b)} \\

where <u>b </u><u>=</u><u> </u><u>width </u><u>/</u><u> </u><u>breadth</u> of rectangle

‎ ‎ ‎

<u>substituting</u><u> </u><u>the </u><u>values </u><u>in </u><u>the </u><u>formula </u><u>stated </u><u>above </u><u>,</u>

\bold{80  = 2(25 + b)} \\  \\\bold{ \implies \: 25 + b = \cancel \frac{80}{2} } \\  \\ \bold{\implies \: 25 + b = 40 }\\  \\ \bold{\implies \: b = 40 - 25 }\\  \\\bold{ \implies \: b = 15 \: feet}

hope helpful ~

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Answer:

2.

a)1

b)1

c)1

Step-by-step explanation:

There's some identity trigonometric equation, which are valid for all angles,and they doesn't depends on the measure of angle!

some of em are follows:. (x is the given angle)

  • sin(x)^2+cos(x)^2=1
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You can remember these identity, its gonna help alot.

now back to question,. {x is representing angles)

for (a) sin(x)^2+cos(x)^2=1, this is true for all x, dat means that for all the angle given in question(for ,15°,30°,45°,60° and 120°),we will get 1

for(b) ,

cosec(x)^2=1+cot(x)^2

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for (c),

sec(x)^2=1+tan(x)^2

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✌️:)

3 0
3 years ago
Really need help with this .
lions [1.4K]

Answer:

Step-by-step explanation:

The attached photo shows the diagram of quadrilateral QRST with more illustrations.

Line RT divides the quadrilateral into 2 congruent triangles QRT and SRT. The sum of the angles in each triangle is 180 degrees(98 + 50 + 32)

The area of the quadrilateral = 2 × area of triangle QRT = 2 × area of triangle SRT

Using sine rule,

q/SinQ = t/SinT = r/SinR

24/sin98 = QT/sin50

QT = r = sin50 × 24.24 = 18.57

Also

24/sin98 = QR/sin32

QR = t = sin32 × 24.24 = 12.84

Let us find area of triangle QRT

Area of a triangle

= 1/2 abSinC = 1/2 rtSinQ

Area of triangle QRT

= 1/2 × 18.57 × 12.84Sin98

= 118.06

Therefore, area of quadrilateral QRST = 2 × 118.06 = 236.12

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What is the value of the numerical expression 5/8-5/12(3-1/4)+2/3
vlabodo [156]
Make bottom numbers same
find least common multipules of 8,12,4 and 3
8=2 times  2 times 2
12=2 times 2 times 3
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5/12 times 2/2=10/24
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pemdas
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now we have
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