Question

Find the area of the rhombus.
Answer options: 48sqrt3, 32sqrt3, 64sqrt3, 64^2

Answer 1

Answer:

= 32sqrt3 m² or 32√3 m²

Step-by-step explanation:

Area of a rhombus is given by the formula

A = pq/2; where p and q are the two diagonals of a rhombus

P = 4×2 = 8

q = 4√3 ×2 = 8√3

Thus;

Area = (8 × 8√3)/2

        = 32√3 m²

Answer 2

For this case, we have that by definition, the area of a rhombu is given by:

$A = \frac {d * D} {2}$

Where:

d: Minor Diagonal

D: Greater Diagonal

In this case we have to:

$D = 4 \sqrt {3} +4 \sqrt {3} = 8 \sqrt {3} \ m\\d = 4 + 4 = 8 \ m$

Substituting:

$A = \frac {8 * 8 \sqrt {3}} {2} = \frac {64 \sqrt {3}} {2} = 32 \sqrt {3}$

Answer:

Option b