Question

Find the length of the lane 5 m wide which can be covered by 50,000 bricks of size 22 cm by 15 cm.​

Answer 1

Answer:

area of a brick = 0.22×0.15 = 0.033 m^2

so, total area =50000×0.033= 1650 m^2

hence total area of lane = length if lane × width = l×5

1650=l× 5

l = 1650/5=330 m

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Answer 2

Answer:

First, convert the dimensions of the bricks to meters. The conversion factor for centimeters to meters is:

1 cm=0.01 m

Therefore: 22cm is:

22×1 cm=22×0.01 m

22 cm=0.22 m

And: 15cm is:

15×1 cm=15×0.01 m

15 cm=0.15 m

Next, we can find the area of 1 brick. The formula for the area of a rectangle is:

A=l×w

Substituting the length and width of a brick gives:

A=0.22 m×0.152 m=0.033m2

We can now find the area of the lane by multiplying the area of 1 brick by the 50,000 bricks used to cover the lane.

50000×0.033m2=1650m2

We now have the area of the lane and the width of the lane from the problem so we can substitute this into the area formula to find the length of the lane:

1650m2=l×5m

1650m25m=l×5m5m

1650m25m=l×5m5m

1650m5=l

330m=l

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