CBSE Board Practice

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CBSE Grade IX - Heron's Formula

Question 1

1.	A field is in the shape of a trapezium whose parallel sides are 39 m and 11 m. The non parallel sides are 28 m and 26 m. Find the area of the field.
	560.70 sq.m 587.70 sq.m 571.70 sq.m 575.70 sq.m 578.70 sq.m

Question 2

2.	In an isosceles triangle △ABC, if BC = 13 cm, CA = AB and perimeter is 33 cm, then area of the triangle =
	54.40 sq.cm 46.40 sq.cm 49.40 sq.cm 44.40 sq.cm 52.40 sq.cm

Question 3

3.	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 200.00 m and one of the diagonals is 80 m, how much area will each get for their crops?
	1200.00 sq.m 1340.00 sq.m 1070.00 sq.m 1020.00 sq.m 1470.00 sq.m

Question 4

4.	In an isosceles triangle △ABC, if BC = 19 cm, CA = AB and perimeter is 53 cm, then corresponding height of side BC =
	19.10 cm 11.10 cm 17.10 cm 9.10 cm 14.10 cm

Question 5

5.	In an isosceles triangle △ABC, if base BC = 11 cm and area is 70.81 sq.cm, then corresponding height of side BC =
	12.87 cm 7.87 cm 17.87 cm 9.87 cm 15.87 cm

Question 6

6.	In △PQR, if QR = 15 cm, RP = 13 cm and perimeter = 42 cm, then corresponding height of side QR =
	8.20 cm 14.20 cm 11.20 cm 16.20 cm 6.20 cm

Question 7

7.	A triangular park has sides 140 m, 140 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 ₹10 per metre leaving a space of 4 m wide for the gate on one side.
	₹4320.00 ₹4280.00 ₹4040.00 ₹4160.00 ₹4030.00

Question 8

8.	Some volunteers on a cleanliness drive decided to clean an open ground in the shape of a quadrilateral ABCD, where AB = 8.00 m, BC = 20.00 m, CD = 19.00 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 36 m. Which group cleaned more area ? Find the total area cleaned by both groups.
	group n , 171.67 sq.m group n , 186.67 sq.m group n , 214.67 sq.m group m , 203.67 sq.m group n , 168.67 sq.m

Question 9

9.	In an isosceles triangle △ABC, if BC = 19 cm, AB = CA = 10 cm, then corresponding height of side CA =
	6.93 cm 7.93 cm 4.93 cm 3.93 cm 5.93 cm

Question 10

10.	In an isosceles triangle △ABC, the corresponding height of the side BC is 7.33 cm and area is 69.65 sq.cm, then side AB =
	9.00 cm 17.00 cm 15.00 cm 12.00 cm 7.00 cm

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