The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Find its area Question The sides of a triangular plot are in the ratio of 3 : 5 : 7 and its perimeter is 300 m. Find its area in progress 0 Math Piper 1 week 2022-01-15T09:44:19+00:00 2022-01-15T09:44:19+00:00 2 Answers 0 views 0

## Answers ( )

## Given :

Perimeter of the plot is 300m.

## To Find :

## Solution :

## So , The sides of Triangular plot are 60m , 100m and 140m.

## Now ,

## Therefore , The Area of the Triangular Plot is 1500√3m²…

Answer:Let the sides be 3a, 5a and 7a.

Perimeter = sum of all sides

= > 3a + 5a + 7a = 300

= > 15a = 300

= > a = 300/15

= > a = 20 m

Sides are –

3a = 3(20m) = 60m

5a = 5(20m) = 100m

7a = 7(20m) = 140m

Semi – perimeter = 300/2 = 150

Using heron’s formula-

= >

= >

= >

= >

= >

= > 1500

Area is 1500 m^2