Q1 of 16 Page 160

What is the area of the quadrilateral shown below?

As shown in the figure below:

Area of the quadrilateral = area of ADB + area of DCB

Hence, area of the quadrilateral is 40 square centimetres.

In the figure, the midpoints of the diagonals of a rhombus are joined to form a small quadrilateral:

(i) Prove that this quadrilateral is a rhombus.

(ii) The area of the small rhombus is 3 square centimetres. What is the area of the large rhombus?

What is the area of the largest rhombus that can be drawn inside a rectangle of sides 6 centimetres and 4 centimetres?

Prove that for any quadrilateral with diagonals perpendicular, the area is half the product of the diagonals.

Compute the area of the quadrilateral shown below:

Questions · 16

8. Area of Quadrilaterals

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