Question

The length of a rectangular field is 3 times its breadth if the area of the field is 147sq.m, find it's length and breadth

Answer 1

Solution :—

Given :—

Area of rectangular field =147 sq.m

To find :—

Length & bredth

Length = l & bredth =b

By 1 st condition

Area of rectangular field = l × b

147 = l × b......1

By 2nd condition

l = 3b.......2

Using the 2nd equation in 1st equation

$147 = (3b) \times (b) \\ 147 = 3 {b}^{2} \\ \frac{147}{3} = {b}^{2} \\ 49 = {b}^{2} \\ b = 7.....taking \: sq.root$

Using value of b in equation 2

l = 3b

l = 3 × b

l = 3 × 7 = 21

Length of rectangular field is 21m

Bredth of rectangular field is 7m

Answer 2

Answer:

• The length of the rectangular field is 21 m.

Step-by-step explanation:

Given :

• Area of rectangular field = 147 sq. m

• Length of the rectangular field = 3 times its breadth.

To Find :

The length of the rectangular field.

Formula used :

$\huge{\boxed{Area \: \: of \: \: rectangle = Length × Breadth}}$

Solution :

Let the breadth be x

Let the length be 3x

A. T. Q,

Area of rectangle = 3x × x

147 = 3x²

49 = x²

$\boxed{\pink{x = 7}}$

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• Breadth => x = 7 m

• Length => 3x = 3×7 = 21 m

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