The sides of a triangular plot are in the ratio of `3:5:7`and its peri – InterviewSolution

InterviewSolution

1.	The sides of a triangular plot are in the ratio of `3:5:7`and its perimeteris 300 m. Find its area.
Answer» a:b:c=3:5:7 a=3x=60 b=5x=100 c=7x=140 a+b+c=300 3x+5x+7x=300 15x=300 x=20 Semiperemeter=300/2=150 Herons formula area=`sqrt(s(s-a)(s-b)(s-c))` =`sqrt(150(150-60)(150-100)(150-140))` =`1500sqrt3m^2`

Discussion

No Comment Found

Related InterviewSolutions

An isosceles trianglehas perimeter `30 c m`and each of the equalsides os `12 c mdot`Find the area of thetriangle.
A field is in the shape of a trapezium whose parallel sides are 25m and 10m. If its non-parallel sides are 14m and 13m, find its area.
A park, in the shape of a quadrilateral ABCD, has `/_C=90^o , A B=9 m , B C=12 m , C D=5 m a n d A D=8 m`. How much area does it occupy?
A triangular park ABC has sides 120m, 80m and 50m. A gardener Dhania has to put a fence all around it and also plant grass inside. How much area does she need to plant? Find the cost of fencing it with barbed wire at the rate of Rs 20 per metre leaving a space 3m wide for a gate on one side.
Find the area of a quadrilateral ABCD in which `A B=3 c m , B C=4 c m , C D=4 c m , D A=5 c m a n d A C=5 c m`.
An umbrella is made by stitching 10 triangular pieces of cloth of two different colour, each piece measuring 20 cm, 50 cm and 50 cm. How much cloth of each colour is required for the umbrella?
The sides of a triangular plot are in the ratio of `3:5:7`and its perimeteris 300 m. Find its area.
Sides of a triangle are in the ratio of `12 : 17 : 25`and its perimeter is 540cm. Find its area.
Students of a school staged a rally for cleanliness campaign. They walked through the lanes in two groups. One group walked through the lanes AB, BC and CA; while the other through AC, CD and DA (see Fig. 12.12). Then they cleaned the area enclos