Question 5:
Diagram 1 shows four rectangles. The largest rectangle has a length of L cm and a width of W cm. The measurement of the length and width of each subsequent rectangle are half of the measurements of its previous one. The areas of the rectangles form a geometric progression. The terms of the progression are in descending.
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2016/11/Picture7-1.png)
![](http://spmaddmaths.blog.onlinetuition.com.my/wp-content/uploads/sites/3/2016/11/Picture7-1.png)
(a) State the common ratio, hence find the area of the first rectangle given the sum of four rectangles is 510 cm2. [4 marks]
(b) Determine which rectangle has an area of 96 cm2. [2 marks]
Solution:
(a)
Area of the first rectangle = 384 cm2
(b)