EduSahara™ Assignment
Name : Heron's Formula
Chapter : Coordinate Geometry
Grade : SSC Grade X
License : Non Commercial Use
Question 1
1.
In △PQR, if QR = 17 cm, RP = 15 cm, PQ = 17 cm, then area of the triangle =
  • (i)
    111.42 sq.cm
  • (ii)
    131.42 sq.cm
  • (iii)
    98.42 sq.cm
  • (iv)
    114.42 sq.cm
  • (v)
    119.42 sq.cm
Question 2
2.
In △PQR, if QR = 10 cm, RP = 16 cm and perimeter = 43 cm, then area of the triangle =
  • (i)
    78.23 sq.cm
  • (ii)
    75.23 sq.cm
  • (iii)
    81.23 sq.cm
  • (iv)
    73.23 sq.cm
  • (v)
    83.23 sq.cm
Question 3
3.
If perimeter of an equilateral triangle 57 cm, the area of the equilateral triangle =
  • (i)
    169.32 sq.cm
  • (ii)
    178.32 sq.cm
  • (iii)
    156.32 sq.cm
  • (iv)
    129.32 sq.cm
  • (v)
    152.32 sq.cm
Question 4
4.
In an isosceles triangle △ABC, if BC = 13 cm, CA = AB and perimeter is 45 cm, then area of the triangle =
  • (i)
    95.03 sq.cm
  • (ii)
    100.03 sq.cm
  • (iii)
    92.03 sq.cm
  • (iv)
    98.03 sq.cm
  • (v)
    90.03 sq.cm
Question 5
5.
A triangular park has sides 180 m, 180 m and 130 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)
    10910.52 sq.m
  • (ii)
    10210.52 sq.m
  • (iii)
    9310.52 sq.m
  • (iv)
    11710.52 sq.m
  • (v)
    12310.52 sq.m
Question 6
6.
A triangular park has sides 160 m, 170 m and 100 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 ₹22 per metre leaving a space of 5 m wide for the gate on one side.
  • (i)
    ₹9590.00
  • (ii)
    ₹9300.00
  • (iii)
    ₹9390.00
  • (iv)
    ₹9080.00
  • (v)
    ₹9350.00
Question 7
7.
    • The sides of a triangular plot are in the ratio
    • 17
      :
      11
      :
      19
    • and perimeter is
    • 470 m
    • . Find its area
  • (i)
    9269.41 sq.m
  • (ii)
    8999.41 sq.m
  • (iii)
    9139.41 sq.m
  • (iv)
    9419.41 sq.m
  • (v)
    9509.41 sq.m
Question 8
8.
A traffic sign board is in the shape of an equilateral triangle . If its perimeter is 54 cm, what is its area ?
  • (i)
    125.30 sq.cm
  • (ii)
    157.30 sq.cm
  • (iii)
    140.30 sq.cm
  • (iv)
    124.30 sq.cm
Question 9
9.
Lakshmi has a triangular field with sides 80 m, 180 m and 140 m. She wanted to grow cabbages and cauliflowers. She divided the field into two parts by joining the mid-point of the longest side to the opposite vertex, and grew cabbages in one part and cauliflowers in the other part. How much area has been used for cauliflowers.
  • (i)
    2743.28 sq.m
  • (ii)
    2653.28 sq.m
  • (iii)
    2903.28 sq.m
  • (iv)
    2533.28 sq.m
  • (v)
    2683.28 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 = 17.00 m, BC = 16.00 m, CD = 20.00 m, and DA = 13.00 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 43 m. Which group cleaned more area ? Find the total area cleaned by both groups.
  • (i)
      • group n
      • ,
      • 172.39 sq.m
  • (ii)
      • group n
      • ,
      • 187.39 sq.m
  • (iii)
      • group m
      • ,
      • 201.39 sq.m
  • (iv)
      • group n
      • ,
      • 199.39 sq.m
  • (v)
      • group m
      • ,
      • 180.39 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 240.00 m and one of the diagonals is 100 m, how much area will each get for their crops?
  • (i)
    1608.31 sq.m
  • (ii)
    1518.31 sq.m
  • (iii)
    1788.31 sq.m
  • (iv)
    1658.31 sq.m
  • (v)
    1738.31 sq.m
Question 12
12.
A rhombus shaped field has green grass for 16 cows to graze. If the perimeter of the field is 240.00 m and one of the diagonals is 100 m, how much area of the grass field will each cow be grazing?
  • (i)
    223.31 sq.m
  • (ii)
    190.31 sq.m
  • (iii)
    191.31 sq.m
  • (iv)
    210.31 sq.m
  • (v)
    207.31 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 20 cm, 19 cm and 17 cm, and the parallelogram stands on the base 19 cm, find the height of the parallelogram
  • (i)
    5.84 cm
  • (ii)
    7.84 cm
  • (iii)
    8.84 cm
  • (iv)
    6.84 cm
  • (v)
    9.84 cm
Question 14
14.
A field is in the shape of a trapezium whose parallel sides are 27 m and 10 m. The non parallel sides are 22 m and 16 m. Find the area of the field.
  • (i)
    310.13 sq.m
  • (ii)
    298.13 sq.m
  • (iii)
    271.13 sq.m
  • (iv)
    277.13 sq.m
  • (v)
    294.13 sq.m
Question 15
15.
A floral design on a floor is made up of 8 triangular shaped tiles. The sides of each tile are 14 cm, 16 cm and 14 cm. If the cost of polishing the tiles is ₹5.00 per sq cm, find the total cost to polishing all the tiles.
  • (i)
    ₹3676.52
  • (ii)
    ₹3546.52
  • (iii)
    ₹3846.52
  • (iv)
    ₹3936.52
  • (v)
    ₹3496.52
    Assignment Key

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