Ms. Latha gives a problem to her students. Find the perimeter of a rectangle whose length is 35cm and diagonal is 37cm. What will be the correct answer?
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Given : a rectangle whose length is 35cm and diagonal is 37cm
To Find : Perimeter of the rectangle
Solution:
In a rectangle
(length )² + (width)² = (diagonal )²
=> 35² + (width)² = 37²
=> (width)² = 37² - 35²
=> width² = (37 + 35) (37 - 35)
=> width² = 72 * 2
=> width² = 144
=> width = 12 cm
Perimeter of rectangle = 2 ( length + width)
= 2 (35 + 12)
= 2 (47)
= 94 cm
Perimeter of the rectangle = 94 cm
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