define the four element of the world?
Answers
Explanation:
Question
The length of a rectangle is 16 cm and one of its diagonal is 20 cm. Find the perimeter of the rectangle.
Answer
Perimeter of rectangle is 56 cm.
Step By Step Explanation
Given that:
Length of rectangle is 16 cm.
One of it's diagonal is 20 cm.
To Find:
Perimeter of rectangle?
Solution:
Firstly let's calculate the breadth of rectangle (b) by using well known formula i.e, formula of diagonal of rectangle :
\pmb{\boxed{\bf{\pink{Diagonal = \sqrt{{\ell}^{2} + b^2}}}}}
Diagonal=
ℓ
2
+b
2
Diagonal=
ℓ
2
+b
2
Where, ℓ is length of rectangle and b is breadth of rectangle.
❏ Putting all values in formula :
↦ \sf 20 = \sqrt{\big(16\big)^2 + \big(b\big)^2}20=
(16)
2
+(b)
2
↦ \sf 20 = \sqrt{256 + b^2}20=
256+b
2
✭ Squaring both sides :
↦ \sf \big(20\big)^2 = \big(\sqrt{256 + b^2}\big)^2(20)
2
=(
256+b
2
)
2
↦ 400 = 256 + b²
↦ b² = 400 - 256
↦ b² = 144
↦ \sf b = \sqrt{144}b=
144
↦ \sf b = \sqrt{12\:\times\:12}b=
12×12
➦ \pmb{\underline{\boxed{\bf{\purple{Breadth\:(b) = 12\:cm}}}}}
Breadth(b)=12cm
Breadth(b)=12cm
Now, let's find perimeter of rectangle by using formula of perimeter of rectangle i.e,
\pmb{\boxed{\bf{\green{Perimeter_{(rectangle)} = 2\big(\ell + b\big)}}}}
Perimeter
(rectangle)
=2(ℓ+b)
Perimeter
(rectangle)
=2(ℓ+b)
Where, ℓ is length of rectangle and b is breadth of rectangle.
❏ Putting all values in formula :
⇒ \sf Perimeter_{(rectangle)} = 2\big(16 + 12\big)Perimeter
(rectangle)
=2(16+12)
⇒ \sf Perimeter_{(rectangle)} = 2\big(28\big)Perimeter
(rectangle)
=2(28)
⇒ \sf Perimeter_{(rectangle)} = 2\:\times\:28Perimeter
(rectangle)
=2×28
➳ \pmb{\underline{\boxed{\bf{\red{Perimeter_{(rectangle)} = 56\:cm}}}}}
Perimeter
(rectangle)
=56cm
Perimeter
(rectangle)
=56cm
∴ Hence, the perimeter of rectangle is 56cm.
Know More :
Perimeter of any figure is calculated by sum of it's sides.
Perimeter of square = 4 × side
Perimeter of rectangle = 2(ℓ + b)
Perimeter of circle = 2πr
Perimeter of equilateral ∆ = 3 × side
❏ Some related Questions & Answers :
Ques 1 :
The length of a rectangle is 15 cm greater than its breath. Its perimeter is 150cm. Find the dimensions of the rectangle.
Ans :
https://brainly.in/question/43278245
Ques 2 :
A square and a rectangle have the same perimeter. If the side of the square is 16 m and the length of the rectangle is 18 m, the breadth of the rectangle is : (A) 14 m (B) 15 m (C) 16 m (D) 17 m.
Ans :
https://brainly.in/question/43446860
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Answer:
The four elements of western culture are: EARTH, AIR, FIRE, and WATER. These four elements were believed to be essential to life. Taoism has five elements, each one superior to the next in turn: wood, earth, water, fire, and metal.
...
Four Elements.
element air
myth giant
Hebrew eagle, rainbow
animal monkey
later animal eagle