Question

The length of rectangle is 3/2 times of its breadth, if the area of rectangle is 150, then find it perimeter

Answer 1

Define x:

Let the breadth be x

Breadth = x

Length = 3/2 x

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Find x:

$\boxed {\text {Area = Length } \times \text {Breadth}}$

x (3/2 x ) = 150

3/2 x² = 150

x² = 150 ÷ 3/2

x² = 150 x 2/3

x² = 100

x = √100

x = 10

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Find Length and Breadth:

Breadth = x = 10

Length = 3/2 x = 3/2 (10) = 15

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Find Perimeter:

$\boxed {\text {Perimeter = } 2(\text { Length} + \text{Breadth })}$

Perimeter = 2 (10 + 15) = 2 (25) = 50

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Answer: Perimeter = 50 units

Answer 2

Let breadth be x.

Length = 3/2 of breadth = 3x/2

Area = 150

Formula for area = Length × Breadth

So , 150 = 3x/2 × x

⇒3x × x = 150 × 2

⇒x² = 300/3

⇒x =100

∴Breadth = 50 square root = 10

Length = 3/2 of x = 3/2*10= 15

Perimeter = 2 × ( L + B )

⇒ 2 × 15 + 10

⇒2 × 25

⇒ 50 Units (ans)