Find the area of a rectangle of length 4cm and whose diagonal is 6cm, (Leave…

Find the area of a rectangle of length 4cm and whose diagonal is 6cm, (Leave your answer in surd form)

Correct Answer: Option D

Explanation

|AB| = 4cm
|BC| = 8cm
In right-angled BAC; |BC|²= |AB|²+ |AC|²
8²= 4²+ |AC|²
64 – 16 = |AC|²
48 = |AC|²
(AC= sqrt{48}cm = 4sqrt{3}cm)
The area of rectangle = L x B = |AB| x |AC|
= ((4 times 4sqrt{3}cm^2)\
=16sqrt{3}cm^2)