EduSahara™ Assignment
Name : Heron's Formula
Chapter : Heron's Formula
Grade : CBSE Grade IX
License : Non Commercial Use
Question 1
1.
In an isosceles triangle △ABC, if BC = 20 cm, AB = CA = 16 cm, then area of the triangle =
  • (i)
    124.90 sq.cm
  • (ii)
    117.90 sq.cm
  • (iii)
    132.90 sq.cm
  • (iv)
    111.90 sq.cm
  • (v)
    140.90 sq.cm
Question 2
2.
In an isosceles triangle △ABC, if BC = 16 cm, CA = AB and perimeter is 42 cm, then area of the triangle =
  • (i)
    78.98 sq.cm
  • (ii)
    76.98 sq.cm
  • (iii)
    81.98 sq.cm
  • (iv)
    84.98 sq.cm
  • (v)
    86.98 sq.cm
Question 3
3.
A triangular park has sides 170 m, 140 m and 100 m. A gardener has to put a fence all around it and also plant grass inside. How much area does he need to plant ?
  • (i)
    6947.81 sq.m
  • (ii)
    6827.81 sq.m
  • (iii)
    7177.81 sq.m
  • (iv)
    6997.81 sq.m
  • (v)
    7037.81 sq.m
Question 4
4.
A triangular park has sides 120 m, 200 m and 170 m. A gardener has to put a fence all around it and also plant grass inside. Find the cost of fencing it with barbed wire at the rate of ₹24 per metre leaving a space of 3 m wide for the gate on one side.
  • (i)
    ₹9888.00
  • (ii)
    ₹13288.00
  • (iii)
    ₹11688.00
  • (iv)
    ₹12988.00
  • (v)
    ₹11088.00
Question 5
5.
    • The sides of a triangular plot are in the ratio
    • 4
      :
      2
      :
      3
    • and perimeter is
    • 450 m
    • . Find its area
  • (i)
    7101.84 sq.m
  • (ii)
    7041.84 sq.m
  • (iii)
    7331.84 sq.m
  • (iv)
    7511.84 sq.m
  • (v)
    7261.84 sq.m
Question 6
6.
A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 45 cm, what is its area ?
  • (i)
    102.43 sq.cm
  • (ii)
    100.43 sq.cm
  • (iii)
    94.43 sq.cm
  • (iv)
    97.43 sq.cm
  • (v)
    92.43 sq.cm
Question 7
7.
Sarojini has a triangular field with sides 80 m, 190 m and 160 m. She wanted to grow pumpkins and radish. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew pumpkins in one part and radish in the other part. How much area has been used for radish.
  • (i)
    2898.69 sq.m
  • (ii)
    3308.69 sq.m
  • (iii)
    3158.69 sq.m
  • (iv)
    3238.69 sq.m
  • (v)
    3018.69 sq.m
Question 8
8.
Some volunteers on a cleanliness drive decided to clean an open ground in the shape of a quadrilateral ABCD, where AB = 13.00 m, BC = 12.00 m, CD = 11.00 m, and DA = 11.00 m. They split into two groups m and n and started cleaning on either sides of the diagonal BD. Group m marked their perimeter which is of length 40 m. Which group cleaned more area ? Find the total area cleaned by both groups.
  • (i)
      • group m
      • ,
      • 136.96 sq.m
  • (ii)
      • group n
      • ,
      • 149.96 sq.m
  • (iii)
      • group n
      • ,
      • 161.96 sq.m
  • (iv)
      • group n
      • ,
      • 110.96 sq.m
  • (v)
      • group n
      • ,
      • 118.96 sq.m
Question 9
9.
A farmer has a piece of land in the shape of a rhombus. He decided to divide the land into two equal parts such that both his son and daughter could work on the land to produce different crops. If the perimeter of the land is 400.00 m and one of the diagonals is 170 m, how much area will each get for their crops?
  • (i)
    4477.65 sq.m
  • (ii)
    4217.65 sq.m
  • (iii)
    4407.65 sq.m
  • (iv)
    4647.65 sq.m
  • (v)
    4697.65 sq.m
Question 10
10.
A rhombus shaped field has green grass for 12 cows to graze. If the perimeter of the field is 320.00 m and one of the diagonals is 110 m, how much area of the grass field will each cow be grazing?
  • (i)
    518.49 sq.m
  • (ii)
    532.49 sq.m
  • (iii)
    544.49 sq.m
  • (iv)
    526.49 sq.m
  • (v)
    555.49 sq.m
Question 11
11.
A triangle and a parallelogram, both have the same base and the same area. If the sides of the triangle are 19 cm, 12 cm and 28 cm, and the parallelogram stands on the base 12 cm, find the height of the parallelogram
  • (i)
    8.51 cm
  • (ii)
    7.51 cm
  • (iii)
    9.51 cm
  • (iv)
    6.51 cm
  • (v)
    5.51 cm
Question 12
12.
A field is in the shape of a trapezium whose parallel sides are 35 m and 13 m. The non parallel sides are 11 m and 12 m. Find the area of the field.
  • (i)
    85.42 sq.m
  • (ii)
    75.42 sq.m
  • (iii)
    83.42 sq.m
  • (iv)
    77.42 sq.m
  • (v)
    80.42 sq.m
Question 13
13.
A floral design on a floor is made up of 6 triangular shaped tiles. The sides of each tile are 18 cm, 13 cm and 19 cm. If the cost of polishing the tiles is ₹2.00 per sq cm, find the total cost to polishing all the tiles.
  • (i)
    ₹1397.00
  • (ii)
    ₹1577.00
  • (iii)
    ₹1287.00
  • (iv)
    ₹1347.00
  • (v)
    ₹1207.00
    Assignment Key

  •  1) (i)
  •  2) (iii)
  •  3) (iv)
  •  4) (iii)
  •  5) (v)
  •  6) (iv)
  •  7) (iii)
  •  8) (i)
  •  9) (i)
  •  10) (ii)
  •  11) (ii)
  •  12) (v)
  •  13) (iv)