Question

5. The sides of a triangular plot are in the ratio of 3: 5:7 and its perimeter is
300m. The sides of atriangle are
(a) 60 m, 100 m 140 m
(6) 50 m, 80 m, 60m
(c )45 m, 75 m, 95 m
(d) 65 m, 35 m, 80 m​

Answer 1

Answer:

option c is the correct answer

Answer 2

Given:-

• Sides of triangular plot are in ratio 3:5:7.
• Perimeter of plot is 300 m.

To find:-

• Sides of triangular plot.

Solution:-

Let,

First side be 3x m.

Second side be 5x m.

Third side be 7x m.

We know that,

Perimeter of triangle is sum of all sides.

So,

⇒3x + 5x + 7x = 300

⇒15x = 300

⇒x = 300/15

⇒x = 20

Verification:-

⇒3x + 5x + 7x = 300

• Put x = 20

⇒(3×20) + (5×20) + (7×20) = 300

⇒60 + 100 + 140 = 300

⇒300 = 300

Hence, Verified.

3x = 3×20 = 60 m

5x = 5×20 = 100 m

7x = 7×20 = 140 m.

Therefore,

Sides of triangle are 60 m , 100 m and 140 m.