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Find the Perimeter of the Rectangle Whose Length is 40 Cm and a Diagonal is 41 Cm - Mathematics

Find the perimeter of the rectangle whose length is 40 cm and a diagonal is 41 cm

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Solution

In a rectangle, all interior angles are of 90º measure. Therefore, Pythagoras theorem can be applied here.

(41)2 = (40)2 + x2

1681 = 1600 + x2

x2 = 1681 − 1600 = 81

x = 9 cm

Perimeter = 2(Length + Breadth)

= 2(x + 40)

= 2 (9 + 40)

= 98 cm

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APPEARS IN

NCERT Class 7 Maths
Chapter 6 The Triangle and its Properties
Exercise 6.5 | Q 7 | Page 130
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