Question

Find the area of the 1.5 m wide pathways (green) if length is twice of breadth which is equal to 6 m (in square cm).

• A. 24.75 ${\mathrm{cm}}^2$
• B. 247500 ${\mathrm{cm}}^2$
• C. 27${\mathrm{cm}}^2$
• D. 270000 ${\mathrm{cm}}^2$

Answer 1

The correct option is B

247500 ${\mathrm{cm}}^2$

Breadth of the rectangle = EH = FG = 6 m

Length of rectangle = $2\times \text{Breadth}$
AB = CD = 12 m

Area of the pathway ABCD = 12 m $\times$ 1.5 m = 18 $m^2$

Area of the pathway EFGH = 6 m $\times$ 1.5 m = 9 $m^2$ ​

Area (PQRS) = 1.5 m $\times$ 1.5 m = 2.25 $m^2$ (This area is taken twice)

Total area of pathway = Area (ABCD) + Area (EFGH) – Area (PQRS)

= (18 + 9 – 2.25) $m^2$ = 24.75 $m^2$

1 $m^2$ = 10000 $c{m}^2$

So, 24.75 $m^2$ = (24.75 $\times$ 10000) $c{m}^2$ = 247500 $c{m}^2$