## The length and breadth of a rectangle are 24 cm and 7 cm respectively. What must be the length of its diagonal (in cm)? A) 50 B)

Question

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## Answers ( )

Step-by-step explanation:## Step-by-step explanation:

Length of rectangle = 24cm

Breadth of rectangle = 7cm

## length of it’s diagonal

Length = 24

breadth = 7cm

## we know that,

## So,

Diagonal of rectangle = √24² + 7²

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = √576 + 49

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = √625

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 25cm.

## Hence,

length of diagonal of rectangle = 25 cm

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## ≫Information about rectangle:-

»★Area of rectangle = ( l × b ) sq.units

»★Perimeter of rectangle = 2(l + b)

»★Breadth of rectangle = (Area/length)

»★Length of rectangle = (Area/breadth)

»★Diagonal of rectangle = √l² + b²

where,

≫ l = length

≫ b = breadth

━━━━━━━━━━━━━━━━━━━━━━

## Hence,the answer is 25cm

⋆ DIAGRAM :

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✩ Diagonal Biscects Rectangle in two Equal Right Angle Triangle.

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☢

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⠀⠀⠀⠀⠀⠀⠀⠀Shortcut Trick

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✩ As we know Rectangle will be Biscected by Diagonal in two Equal Right Angle Triangle.

✩ It will must follow Pythagorean Triplet.

✩ From Above we can see it will follow 7, 24 and 25. So , Longest Side will be Diagonal i.e. 25 cm.

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