What is the length of the diagonal of a square whose area is $16900 m^{2}$ ?

130 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

130 \sqrt{2} m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

169 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

144 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $130 \sqrt{2} m$
Area $= 16900 ㎡$
Let the length of each side $= x m$
$= x m$
Area $= x^{2}$
$∴ x^{2} = 16900 ㎡$
$x = 130 m$
$∴$ Length of diagonal $= \sqrt{2} x m$
$= 130 \sqrt{2} m$

Suggest Corrections

Similar questions

m^{2}

m^{2}

16 c m^{2}

The area of a square field is $0.5$ hectare. The length of its diagonal is

(a) $150 m$ (b) $100 \sqrt{2} m$ (b) $100 m$ (b) $50 \sqrt{2} m$

Join BYJU'S Learning Program