A rectangular floor 6m x 5m is tessellated using rhombic tiles whose diagonals are 48cm and 20cm long. How many tiles are required assuming half...

Saturday, March 26, 2011

Given

Rectangular floor dimensions= 6m x5m

so the area of the floor is = 30m^2

diagonals of the Rhombus tiles =>

p=48cm = 0.48m

q=20cm=0.2m

so the area of each tile = pq/2 = $\displaystyle{0.48}\cdot\frac{{0.2}}{{2}}={0.048}{{m}}^{{2}}$

so half tiles area is = $\displaystyle\frac{{0.048}}{{2}}$ = $\displaystyle{0.024}{{m}}^{{2}}$

and quater tiles area is = $\displaystyle\frac{{0.024}}{{2}}={0.012}{{m}}^{{2}}$

so no of tiles used for the rectangular area when half tiles are used is

= $\displaystyle\frac{{30}}{{0.024}}$ =1250 tiles

no of tiles used for the rectangular area when quarter tiles are used is = $\displaystyle\frac{{30}}{{0.012}}$ =2500 tiles

Blog