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Find the perimeter of the rectangle whose length is 40 cm and diagonal is 41 CM step by step explanation?
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Find the perimeter of the rectangle whose length is 40 cm and diagonal...
Given Data:
Length = 40 cm
Diagonal = 41 cm
Finding the Width:
Using the Pythagorean theorem, we can find the width of the rectangle.
Let the width be x.
According to the Pythagorean theorem,
(Length)^2 + (Width)^2 = (Diagonal)^2
Substitute the given values,
40^2 + x^2 = 41^2
1600 + x^2 = 1681
x^2 = 1681 - 1600
x^2 = 81
x = √81
x = 9 cm
Finding the Perimeter:
The perimeter of a rectangle is given by the formula:
Perimeter = 2(Length + Width)
Substitute the given values,
Perimeter = 2(40 + 9)
Perimeter = 2(49)
Perimeter = 98 cm
Therefore, the perimeter of the rectangle is 98 cm.
Length = 40 cm
Diagonal = 41 cm
Finding the Width:
Using the Pythagorean theorem, we can find the width of the rectangle.
Let the width be x.
According to the Pythagorean theorem,
(Length)^2 + (Width)^2 = (Diagonal)^2
Substitute the given values,
40^2 + x^2 = 41^2
1600 + x^2 = 1681
x^2 = 1681 - 1600
x^2 = 81
x = √81
x = 9 cm
Finding the Perimeter:
The perimeter of a rectangle is given by the formula:
Perimeter = 2(Length + Width)
Substitute the given values,
Perimeter = 2(40 + 9)
Perimeter = 2(49)
Perimeter = 98 cm
Therefore, the perimeter of the rectangle is 98 cm.
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Find the perimeter of the rectangle whose length is 40 cm and diagonal is 41 CM step by step explanation?
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Find the perimeter of the rectangle whose length is 40 cm and diagonal is 41 CM step by step explanation? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the perimeter of the rectangle whose length is 40 cm and diagonal is 41 CM step by step explanation? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the perimeter of the rectangle whose length is 40 cm and diagonal is 41 CM step by step explanation?.
Find the perimeter of the rectangle whose length is 40 cm and diagonal is 41 CM step by step explanation? for Class 7 2024 is part of Class 7 preparation. The Question and answers have been prepared according to the Class 7 exam syllabus. Information about Find the perimeter of the rectangle whose length is 40 cm and diagonal is 41 CM step by step explanation? covers all topics & solutions for Class 7 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Find the perimeter of the rectangle whose length is 40 cm and diagonal is 41 CM step by step explanation?.
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