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# What is the area of the rhombus ABCD below if AC = 6 cm, and BE = 4cm?

(a) 36 cm²

(b) 16 cm²

(c) 24 cm²

(d) 13 cm²

**Solution:**

The relevant properties of rhombus which can be used here are:

(a) The diagonals of the rhombus bisect each other at right angles

(b) The area of the triangle is half of the product of the diagonals

Diagonal AC = 6cm

Diagonal AB = 2(BE) = 2(4) = 8 cm

Area of the Rhombus = (1/2) × 6 × 8 = 24 cm²

The answer is choice (c ).

**✦ Try This: **What is the area of the rhombus ABCD below if AC = 12 cm, and BE = 5cm? (a) 36 cm² (b) 60 cm² (c) 48 cm² (d) 56 cm²

The relevant properties of rhombus which can be used here are:

(a) The diagonals of the rhombus bisect each other at right angles

(b) The area of the triangle is half of the product of the diagonals

Diagonal AC = 12cm

Diagonal AB = 2(BE) = 2(5) = 10 cm

Area of the Rhombus = (1/2) × 12 × 10 = 60 cm²

The answer is choice (b)

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

**NCERT Exemplar Class 8 Maths Chapter 11 Problem 17**

## What is the area of the rhombus ABCD below if AC = 6 cm, and BE = 4cm? (a) 36 cm² (b)16 cm² (c) 24 cm² (d) 13 cm²

**Summary:**

The area of the rhombus ABCD below if AC = 6 cm, and BE = 4cm is 36 cm²

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