Question

The ratio of length and breadth of a rectangleis 3:2 its area is 2400 sq.cm find its length and breadth

Answer 1

Step-by-step explanation:

hey mate

ratio will be 3x,2x

ATQ

l×b=2400

3x×2x=2400

6x^2=2400

x^2=2400/6

x^2=400

x=√400

x=20cm

LENGTH=3×20=60CM

BREADTH=2×20=40CM

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Answer 2

Given :-

• The Ratio of Length and Breadth of a Rectangle is 3:2
• Area of Rectangle = 2400cm²

To Find :-

• Measures of its Length and Breadth

Solution :-

⟾ Let the Length of Rectangle be 3x

⟾ Let the Breadth of Rectangle be 2x

According to the Question :

➞ Area of Rectangle = Length × Breadth

➞ 2400 = 3x × 2x

➞ 2400 = 6x²

➞ 2400 / 6 = x²

➞ 400 = x²

➞ √400 = x

➞ 20 = x

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Verification :-

➞ Area of Rectangle = Length × Breadth

➞ Area of Rectangle = 3x × 2x

➞ Area of Rectangle = 3 × 20 × 2 × 20

➞ Area of Rectangle = 60 × 40

➞ 2400 = 2400

Hence Verified

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Therefore :

• Length = 3x = 3 × 20 = 60cm
• Breadth = 2x = 2 × 20 = 40cm

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★ Additional Info :

Formulas Related to Rectangle:

• Perimeter of Rectangle = 2( l + b)
• Area = Length × Breadth
• Length = Area / Breadth
• Breadth = Area / Length
• Diagonal = √(l)² + (b)²

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