Question

A rectangle around a rhombus such that the sides of the rectangle touch the vertices of the rhombus.

The area of a rectangle is 80 square units. A rhombus is drawn inside the rectangle so that each vertex touches a side of the rectangle.

What is the area of the shaded rhombus?

Answer 1

The answer should be B.

Explanation:

Answer 2

40 sq units

Explanation:

There is an area formula for rhombus that uses the diagonals of the rhombus.

Area_rhombus

= (d1 × d2)/2

The diagonals of the rhombus are the length and width of the rectangle, which we know that product.

Area_rectangle

= length × width

= 80 sq units

Area_rhombus

= 80/2

= 40

The area of the rhombus is 40 sq units.