Question

A Square is cut along its diagonal as four triangles and these are arranged on another square of the same area to form a larger square of area 16 sq.units. Then find the area of the smaller square.

• A. 8 sq.units
• B. 16 sq.units
• C. 4 sq.units
• D. 80 sq.units

Answer 1

The correct option is A

8 sq.units

If a square is cut along its diagonal as four triangles and these are arranged on another square to form a larger square of area,

Then the area of the larger square is double of the area original square.

Given that the area of the larger square is 16 sq.units

So the area of square 1 = $\frac{16}{2}=8sq.units$