EduSahara™ Assignment
Name : Heron's Formula
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
In △PQR, if QR = 11 cm, RP = 13 cm, PQ = 10 cm, then area of the triangle =
  • (i)
    48.44 sq.cm
  • (ii)
    50.44 sq.cm
  • (iii)
    58.44 sq.cm
  • (iv)
    53.44 sq.cm
  • (v)
    56.44 sq.cm
Question 2
2.
In △PQR, if QR = 14 cm, RP = 16 cm and perimeter = 46 cm, then area of the triangle =
  • (i)
    105.71 sq.cm
  • (ii)
    98.71 sq.cm
  • (iii)
    100.71 sq.cm
  • (iv)
    114.71 sq.cm
  • (v)
    83.71 sq.cm
Question 3
3.
If perimeter of an equilateral triangle 42 cm, the area of the equilateral triangle =
  • (i)
    87.87 sq.cm
  • (ii)
    79.87 sq.cm
  • (iii)
    81.87 sq.cm
  • (iv)
    84.87 sq.cm
  • (v)
    89.87 sq.cm
Question 4
4.
In an isosceles triangle △ABC, if BC = 16 cm, CA = AB and perimeter is 38 cm, then area of the triangle =
  • (i)
    65.40 sq.cm
  • (ii)
    55.40 sq.cm
  • (iii)
    57.40 sq.cm
  • (iv)
    63.40 sq.cm
  • (v)
    60.40 sq.cm
Question 5
5.
A triangular park has sides 130 m, 110 m and 180 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)
    7259.30 sq.m
  • (ii)
    7219.30 sq.m
  • (iii)
    7099.30 sq.m
  • (iv)
    6829.30 sq.m
  • (v)
    6979.30 sq.m
Question 6
6.
A triangular park has sides 200 m, 160 m and 140 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 ₹11 per metre leaving a space of 3 m wide for the gate on one side.
  • (i)
    ₹5417.00
  • (ii)
    ₹5537.00
  • (iii)
    ₹5597.00
  • (iv)
    ₹5467.00
  • (v)
    ₹5307.00
Question 7
7.
    • The sides of a triangular plot are in the ratio
    • 13
      :
      13
      :
      16
    • and perimeter is
    • 420 m
    • . Find its area
  • (i)
    7917.56 sq.m
  • (ii)
    8237.56 sq.m
  • (iii)
    8197.56 sq.m
  • (iv)
    8127.56 sq.m
  • (v)
    8347.56 sq.m
Question 8
8.
A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 39 cm, what is its area ?
  • (i)
    68.18 sq.cm
  • (ii)
    73.18 sq.cm
  • (iii)
    70.18 sq.cm
  • (iv)
    78.18 sq.cm
  • (v)
    76.18 sq.cm
Question 9
9.
Teena has a triangular field with sides 140 m, 70 m and 170 m. She wanted to grow brinjals and potatoes. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew brinjals in one part and potatoes in the other part. How much area has been used for brinjals.
  • (i)
    2667.47 sq.m
  • (ii)
    2387.47 sq.m
  • (iii)
    2467.47 sq.m
  • (iv)
    2157.47 sq.m
  • (v)
    2347.47 sq.m
Question 10
10.
Some volunteers on a cleanliness drive decided to clean an open ground in the shape of a quadrilateral ABCD, where AB = 11.00 m, BC = 10.00 m, CD = 6.00 m, and DA = 19.00 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 42 m. Which group cleaned more area ? Find the total area cleaned by both groups.
  • (i)
      • group n
      • ,
      • 94.44 sq.m
  • (ii)
      • group m
      • ,
      • 91.44 sq.m
  • (iii)
      • group n
      • ,
      • 86.44 sq.m
  • (iv)
      • group m
      • ,
      • 96.44 sq.m
  • (v)
      • group m
      • ,
      • 88.44 sq.m
Question 11
11.
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 640.00 m and one of the diagonals is 190 m, how much area will each get for their crops?
  • (i)
    10730.67 sq.m
  • (ii)
    12930.67 sq.m
  • (iii)
    12230.67 sq.m
  • (iv)
    14930.67 sq.m
  • (v)
    9630.67 sq.m
Question 12
12.
A rhombus shaped field has green grass for 5 cows to graze. If the perimeter of the field is 560.00 m and one of the diagonals is 160 m, how much area of the grass field will each cow be grazing?
  • (i)
    3716.48 sq.m
  • (ii)
    3456.48 sq.m
  • (iii)
    3916.48 sq.m
  • (iv)
    3676.48 sq.m
  • (v)
    3656.48 sq.m
Question 13
13.
A triangle and a parallelogram, both have the same base and the same area. If the sides of the triangle are 28 cm, 18 cm and 19 cm, and the parallelogram stands on the base 18 cm, find the height of the parallelogram
  • (i)
    10.40 cm
  • (ii)
    11.40 cm
  • (iii)
    7.40 cm
  • (iv)
    8.40 cm
  • (v)
    9.40 cm
Question 14
14.
A field is in the shape of a trapezium whose parallel sides are 43 m and 16 m. The non parallel sides are 30 m and 25 m. Find the area of the field.
  • (i)
    696.55 sq.m
  • (ii)
    680.55 sq.m
  • (iii)
    694.55 sq.m
  • (iv)
    677.55 sq.m
  • (v)
    719.55 sq.m
Question 15
15.
A floral design on a floor is made up of 5 triangular shaped tiles. The sides of each tile are 10 cm, 13 cm and 10 cm. If the cost of polishing the tiles is ₹4.00 per sq cm, find the total cost to polishing all the tiles.
  • (i)
    ₹987.91
  • (ii)
    ₹970.91
  • (iii)
    ₹965.91
  • (iv)
    ₹1012.91
  • (v)
    ₹1000.91
    Assignment Key

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