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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