Herons Formula

1. The triangular side walls of a flyover have been used for advertisements. The sides of the walls are 122 m, 22 m and 120 m (see Fig. 12.9). The advertisements yield an earning of ₹5000 per m² per year. A company hired one of its walls for 3 months. How much rent did it pay?

• 1650000

• 5000000

• 69696699

• 129877

Tags

CCSS.6.G.A.1

2. There is a slide in a park. One of its side walls has been painted in some colour with a message “KEEP THE PARK GREEN AND CLEAN” (see Fig. 12.10 ). If the sides of the wall are 15 m, 11 m and 6 m, find the area painted in colour.

• 20√2 m²

• 5000 m

• 6987 cm

• 3000 m

Tags

CCSS.6.G.A.1

3. Find the area of a triangle two sides of which are 18 cm and 10 cm and the perimeter is 42cm.

• 21√11 cm

• 20√11 cm

• 21√69 cm

Tags

CCSS.HSG.SRT.D.9

4. Sides of a triangle are in the ratio of 12 : 17 : 25 and its perimeter is 540cm. Find its area.

• 9000 cm²

• 6969 cm

• 5000 m

Tags

CCSS.6.G.A.1

5. An isosceles triangle has perimeter 30 cm and each of the equal sides is 12 cm. Find the area of the triangle.

• = 9√69 cm

• = 9√29 cm

• = 10√15 cm

• = 9√15 cm

Tags

CCSS.6.G.A.1

7. A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are 26 cm, 28 cm and 30 cm, and the parallelogram stands on the base 28 cm, find the height of the parallelogram.

• 37 cm

• 75 cm

• 12 cm

• 15 cm

Tags

CCSS.6.G.A.1

8. A park, in the shape of a quadrilateral ABCD, has C = 90°, AB = 9 m, BC = 12 m, CD = 5 m and AD = 8 m. How much area does it occupy?

• 65.5

• 95.7

• 33

• 97

Tags

CCSS.6.G.A.1

9. Find the area of a quadrilateral ABCD in which AB = 3 cm, BC = 4 cm, CD = 4 cm, DA = 5 cm and AC = 5 cm.

• 2√54 cm²

• 2√21 cm²

• 3√21 cm²

• 7√21 cm²

Tags

CCSS.6.G.A.1

10. A rhombus shaped field has green grass for 18 cows to graze. If each side of the rhombus is 30 m and its longer diagonal is 48 m, how much area of grass field will each cow be getting?

• 765 cm

• 432 m²

• 864 m²

• 964 cm

Tags

CCSS.6.G.A.1