Question

A square is bisected into two equal triangles (see figure). If the length of BD is $16\sqrt{2}$ inches, what is the area of the square ?

• A. $256$ sq. inches
• B. $32$ sq. inches
• C. $280$ sq. inches
• D. $320$ sq. inches

Answer 1

The correct option is A $256$ sq. inches

We know that,

area of a square = $\frac{1}{2}\times d1\times d2$

And for Square Diagonals are equal.

So, here,

Area = $\frac{1}{2}\times 16\sqrt{2}\times 16\sqrt{2}=256$sq. inches.

Option A