Answer:
The number of bricks needed to build area of a walk is 648 .
Step-by-step explanation:
Given as :
The dimension of bricks is 4 inches by 8 inches
The Length of bricks = L = 4 inches
The width of bricks = w = 8 inches
So, Area of bricks = Length of brick × width of brick
Or, Area of bricks = 4 × 8
I.e Area of bricks = 32 inches²
Again
The dimension of walk is 6 feet by 24 feet
The Length of walk = l = 6 feet = ( 6 × 12 ) inches
I.e Length of walk = 72 inches
The width of walk = 24 feet = ( 24 × 12 ) inches
I.e width of walk = 288 inches
So, Area of walk = Length of walk × width of walk
Or, Area of walk = 72 × 288
I.e Area of walk = 20,736 inches²
Now , Let The number of bricks needed to build walk = n
So, n = ![\dfrac{\textrm Area of walk}{\textrm Area of bricks}](https://tex.z-dn.net/?f=%5Cdfrac%7B%5Ctextrm%20Area%20of%20walk%7D%7B%5Ctextrm%20Area%20of%20bricks%7D)
I.e n = ![\frac{20736 inches^{2}}{32 inches^{2}}](https://tex.z-dn.net/?f=%5Cfrac%7B20736%20inches%5E%7B2%7D%7D%7B32%20inches%5E%7B2%7D%7D)
∴ n= 648
So, number of bricks needed = n = 648
Hence The number of bricks needed to build area of a walk is 648 . Answer