# the area of a rhombus with diagonals lengths as 7.5 cm and 12 cm is ______________.

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## The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area. - Get the answer to this question and access a vast question bank that is tailored for students.

Academic QuestionsMaths QuestionsThe Diagonals Of A Rhombus Are 7 5 Cm And 12 Cm Find Its Area

## The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

**Given**

d1 = 7.5 cm and d2 = 12 cm

**Formula**

We know that, Area of the rhombus = (½) × d1 × d2

= (½) × 7.5 × 12 = 45

**Answer**

Hence, the area of a rhombus is 45 cm2.

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## The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

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Question

## The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area.

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Updated on : 2022-09-05

Solution Verified by Toppr

Correct option is A)

Let d 1 and d 2

be the two diagonals of a rhombus.

Then, d 1 =7.5 cm and d 2 =12 cm We know that, Area of Rhombus = 2 d 1 d 2 = 2 (7.5)(12) =45cm 2

Hence, the answer is 45cm

2 .

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## The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area

The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area. By using the method of splitting into triangles, we can find the area of the rhombus .The area of rhombus is 45 m².

## The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area

**Solution:**

Let's construct a rhombus ABCD as shown below

Let CB and AD be the diagonals of the rhombus ABCD.

AD = 7.5 cm, CB = 12 cm

Area of Rhombus ABCD = Area of ΔABC + Area of ΔDCB

= 1/2 × (CB × AO) + 1/2 × (CB × OD)

= 1/2 × CB × (AO + OD)

= 1/2 × CB × AD

= 1/2 × 12 m × 7.5 m

= 45 m²

**☛ Check:**NCERT Solutions for Class 8 Maths Chapter 11

**Video Solution:**

## The diagonals of a rhombus are 7.5 cm and 12 cm. Find its area

Class 8 Maths NCERT Solutions Chapter 11 Exercise 11.2 Question 5

**Summary:**

The diagonals of a rhombus are 7.5 cm and 12 cm. The area of the rhombus is 45 m².

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