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 = 15 cm, AB = CA = 11 cm, then area of the triangle =
  • (i)
    60.35 sq.cm
  • (ii)
    63.35 sq.cm
  • (iii)
    55.35 sq.cm
  • (iv)
    57.35 sq.cm
  • (v)
    65.35 sq.cm
Question 2
2.
In an isosceles triangle △ABC, if BC = 18 cm, CA = AB and perimeter is 48 cm, then area of the triangle =
  • (i)
    108.00 sq.cm
  • (ii)
    96.00 sq.cm
  • (iii)
    122.00 sq.cm
  • (iv)
    121.00 sq.cm
Question 3
3.
A triangular park has sides 180 m, 180 m and 120 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)
    11982.34 sq.m
  • (ii)
    10582.34 sq.m
  • (iii)
    8882.34 sq.m
  • (iv)
    10182.34 sq.m
  • (v)
    9982.34 sq.m
Question 4
4.
A triangular park has sides 150 m, 160 m and 180 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 ₹17 per metre leaving a space of 3 m wide for the gate on one side.
  • (i)
    ₹8139.00
  • (ii)
    ₹8129.00
  • (iii)
    ₹8279.00
  • (iv)
    ₹8399.00
  • (v)
    ₹8349.00
Question 5
5.
    • The sides of a triangular plot are in the ratio
    • 18
      :
      9
      :
      19
    • and perimeter is
    • 460 m
    • . Find its area
  • (i)
    7754.96 sq.m
  • (ii)
    8244.96 sq.m
  • (iii)
    7874.96 sq.m
  • (iv)
    8164.96 sq.m
  • (v)
    8024.96 sq.m
Question 6
6.
A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 57 cm, what is its area ?
  • (i)
    141.32 sq.cm
  • (ii)
    173.32 sq.cm
  • (iii)
    156.32 sq.cm
  • (iv)
    179.32 sq.cm
  • (v)
    142.32 sq.cm
Question 7
7.
Kareena has a triangular field with sides 190 m, 120 m and 110 m. She wanted to grow tomatoes and onions. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew tomatoes in one part and onions in the other part. How much area has been used for tomatoes.
  • (i)
    2894.09 sq.m
  • (ii)
    3234.09 sq.m
  • (iii)
    3044.09 sq.m
  • (iv)
    3194.09 sq.m
  • (v)
    3074.09 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 = 6.00 m, BC = 13.00 m, CD = 13.00 m, and DA = 17.00 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 41 m. Which group cleaned more area ? Find the total area cleaned by both groups.
  • (i)
      • group n
      • ,
      • 119.45 sq.m
  • (ii)
      • group n
      • ,
      • 149.45 sq.m
  • (iii)
      • group n
      • ,
      • 135.45 sq.m
  • (iv)
      • group n
      • ,
      • 157.45 sq.m
  • (v)
      • group m
      • ,
      • 108.45 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 520.00 m and one of the diagonals is 80 m, how much area will each get for their crops?
  • (i)
    4947.73 sq.m
  • (ii)
    5017.73 sq.m
  • (iii)
    4787.73 sq.m
  • (iv)
    5187.73 sq.m
  • (v)
    4727.73 sq.m
Question 10
10.
A rhombus shaped field has green grass for 8 cows to graze. If the perimeter of the field is 400.00 m and one of the diagonals is 150 m, how much area of the grass field will each cow be grazing?
  • (i)
    1080.12 sq.m
  • (ii)
    1000.12 sq.m
  • (iii)
    1410.12 sq.m
  • (iv)
    1420.12 sq.m
  • (v)
    1240.12 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 18 cm, 10 cm and 27 cm, and the parallelogram stands on the base 10 cm, find the height of the parallelogram
  • (i)
    6.78 cm
  • (ii)
    2.78 cm
  • (iii)
    4.78 cm
  • (iv)
    3.78 cm
  • (v)
    5.78 cm
Question 12
12.
A field is in the shape of a trapezium whose parallel sides are 35 m and 10 m. The non parallel sides are 22 m and 18 m. Find the area of the field.
  • (i)
    353.76 sq.m
  • (ii)
    368.76 sq.m
  • (iii)
    346.76 sq.m
  • (iv)
    334.76 sq.m
  • (v)
    330.76 sq.m
Question 13
13.
A floral design on a floor is made up of 15 triangular shaped tiles. The sides of each tile are 25 cm, 27 cm and 25 cm. If the cost of polishing the tiles is ₹2.50 per sq cm, find the total cost to polishing all the tiles.
  • (i)
    ₹9452.32
  • (ii)
    ₹11352.32
  • (iii)
    ₹13152.32
  • (iv)
    ₹10652.32
  • (v)
    ₹9052.32
    Assignment Key

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