Question

The length of a rectangular field is three times its breadth. If the area of the field be 147 sq meters, find the length of the field.

Answer 1

let length be l

breadth be b

l=3b............ 1

l. b = 147............2

substitute equation 1 in equation 2

3b.b = 147

3b² = 147

b² = 147/3

b²=49

b=7

l=3b

l=3.7

l=21

Answer 2

Answer:

21 m

Step-by-step explanation:

Let the breadth be x

Since we are given that The length of a rectangular field is three times its breadth

So, length = 3x

Area of rectangle = $Length \times Breadth$

We are given that the area of the field be 147 sq meters

So,  $147=3x \timesx$

 $147=3x^2$

$49=x^2$

$7=x$

Thus the breadth is 7 m.

Length = 3x = 3*7 = 21 m.

Hence the length of the field is 21 m.