Question 3 - Figure it out - Page 150-152 - Chapter 7 Class 8 - Area (Ganita Prakash II)

Transcript

Question 3 The figure shows a plot with sides 14m and 12m, and with a crosspath. What other measurements do you need to find the area of the crosspath? Once you identify the lengths to be measured, assign some possible values of your choice and find the area of the path. Give a formula for the area based on the measurements you choose.Let’s label the diagram and mark cross paths properly Thus, we need to width of each path – p & q Let’s assume width of each part is same, and it is 2 m Finding Area of Path now Area of Path – assuming Width = 2 m Labelling all points Now, let’s visualize Area of Path Since we counted the middle intersection square twice, we have to subtract it once Thus, Area of path = Area of IJKL + Area of EFGH – Area of PQRS = 14 × 2 + 2 × 12 – 2 × 2 = 28 + 24 – 4 = 48 m2