Thank you!

Source: ?

Thank you!

Source: ?

sushi88

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 = 101.25cm^{2}

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

CeciliaCecilia

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

For this step, why must x1.5?

sushi88

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.

CeciliaCecilia

Hi Sushi

The answer is 101.25

ChiefKiasu

Hi @CeciliaCecilia,

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