Question

The side of a triangular plot are in
the ratio of 2:3.5 and its permeter
is 300 find its area​

Answer 1

Answer:

Step-by-step explanation:

The sides of a the triangular plot are in the ratio 3:5:7. So, let the sides of the triangle be 3x, 5x and 7x.

Also it is given that the perimeter of the triangle is 300 m therefore,

3x+5x+7x=300

15x=300

x=20

Therefore, the sides of the triangle are 60,100 and 140.

Now using herons formula:

S=  

2

60+100+140

​  

=  

2

300

​  

=150 m

Area of the triangle is:

A=  

s(s−a)(s−b)(s−c)

​  

=  

150(150−60)(150−100)(150−140)

​  

=  

150×90×50×10

​  

=  

6750000

​  

 

=1500  

3

​  

 m  

2

 

Hence, area of the triangular plot is 1500  

3

​  

 m  

2

.