This question is not well designed.  The words and the picture is confusing.   Are we supposed to think the footpath is made of circles or has a rectangular skirting around the circles?   

So should I assume it with the skirting since there is no π value given?  Typically a question with circle calculation would provide the π value.   Like the previous question no π value was given because there was no need to use the circle formula at all.

Breadth = 6 circles

d = diameter of circle

2(10+6)d = 48

d = 48/32 = 1.5m

(b)  Area of rectangular field = (10 x 1.5) x (6 x 1.5) = 135

Area of the footpath = (4.5  + 1.5  + 12  + 4.5 ) x 1.5 = 33.75

Hence area of field not covered by the footpath = 135-33.75 = 101.25cm²

PS:  Please let me know if the answer is 101.25 or 108.5(to 1 dec place).

Area of the footpath = (4.5  + 1.5  + 12  + 4.5 ) x 1.5 = 33.75

For this step, why must x1.5?

Sorry, just saw yr question.

The footpath is made up of 4 rectangles

so it’s   

(length1  x breadth) + (length2 x breadth)  + (length3 x breadth) + (length4 x breadth)

= (length1 + length2 + length3  + length4) x breadth

So 1.5 is the common breadth of the 4 rectangles.

Hi Sushi

The answer is 101.25

Hi @CeciliaCecilia,

Please click on the Accept Answer button if you think @sushi88’s answer is correct.  Thank you!