Question

The length of a rectangular garden is 12 metres and its breadth is 5 metres. Find the length of the diagonal of a square garden having the same area as that of the rectangular garden :

• A. 1 : 1
• B. 1 : 2
• C. 1 : 3
• D. 1 : 4

Answer 1

Answer:

A. 1 : 1

Area of the rectangular garden $=12\times{15} = 60 m^2$ = Area of the square garden

Side of the square garden $= \sqrt{60}m^2$

Diagonal of the square garden $=\sqrt{ 2} side$

$=\sqrt{2}\times{\sqrt{60}}= \sqrt{120}$

$=\sqrt{4\times{30}}$

$=2\sqrt{30} m$