## 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

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) 28 C) 25 D) 56​

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3 months 2021-11-06T18:43:05+00:00 2 Answers 0 views 0

1. Step-by-step explanation:

### Step-by-step explanation:

Length of rectangle = 24cm

Length = 24

### So,

Diagonal of rectangle = √24² + 7²

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = √576 + 49

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = √625

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀ = 25cm.

### Hence,

length of diagonal of rectangle = 25 cm

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

»★Perimeter of rectangle = 2(l + b)

»★Diagonal of rectangle = √l² + b²

where,

≫ l = length

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2. ⋆ DIAGRAM :

⠀⠀⠀

✩ Diagonal Biscects Rectangle in two Equal Right Angle Triangle.

⠀⠀⠀⠀⠀⠀⠀⠀Shortcut Trick

✩ 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.