Mathematics Class 9>Chapter 17 - Heron's Formula>EXERCISE>Q 5

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IMPORTANT

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The area of the rhombus whose perimeter is $80 m$ and one of whose diagonal is $24 m$ is $k m^{2}$ . Find $k$ .

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Important Questions on Heron's Formula

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 17 - Heron's Formula>EXERCISE>Q 6

A rhombus sheet, whose perimeter is

32 m

and whose one diagonal is

10 m

long, is painted on both sides at the rate of

₹ 5 per m^{2}

. Find the cost of painting

(in ₹)

.

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9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 17 - Heron's Formula>EXERCISE>Q 7

Find the area of a quadrilateral

A B C D

(in {cm}^{2})

in which

A D = 24 cm, ∠ B A D = 90 °

and

B C D

forms an equilateral triangle whose each side is equal to

26 cm

. (Take

\sqrt{3} = 1.73

)

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9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 17 - Heron's Formula>EXERCISE>Q 8

Find the area of a quadrilateral

A B C D

(in {cm}^{2})

in which

A B = 42 cm, B C = 21 cm, C D = 29 cm, D A = 34 cm

and diagonal

B D = 20 cm

.

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IMPORTANT

Mathematics Class 9>Chapter 17 - Heron's Formula>EXERCISE>Q 9

The adjacent sides of a parallelogram

A B C D

measure

34 cm

and

20 cm

, and the diagonal

A C

measures

42 cm

. The area of the parallelogram

=

_____

{cm}^{2}

.

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9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 17 - Heron's Formula>EXERCISE>Q 10

Find the area of the blades $(in {cm}^{2})$ of the magnetic compass shown in Figure (Take $\sqrt{11} = 3.32$ )

Question Image

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IMPORTANT

Mathematics Class 9>Chapter 17 - Heron's Formula>EXERCISE>Q 11

A triangle and a parallelogram have the same base and the same area. If the sides of the triangle are

13 cm, 14 cm

and

15 cm

and the parallelogram stands on the base

14 cm

, find the height of the parallelogram.

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IMPORTANT

Mathematics Class 9>Chapter 17 - Heron's Formula>EXERCISE>Q 12

Two parallel side of a trapezium are

60 cm

and

77 cm

and other sides are

25 cm

and

26 cm

. The area of the trapezium

=

_____

{cm}^{2}

.

HARD

9th CBSE

IMPORTANT

Mathematics Class 9>Chapter 17 - Heron's Formula>EXERCISE>Q 13

Find the perimeter and area of the quadrilateral

A B C D

in which

A B = 17 cm, A D = 9 cm, C D = 12 cm, ∠ A C B = 90 °

and

A C = 15 cm

.