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Salah is building a brick walkway around his garden, which is 17 feet wide and 40 feet long. he wants the walkway to be 18 inches wide on all sides. if the bricks are 6 inches wide and 8 inches long, what is the minimum number of bricks Salah will have to buy?

Sagot :

oladayoademosu

The minimum number of bricks Salah will have to buy is 4050 bricks

How to find the minimum number of bricks Salah will have to buy?

Given that the

  • width of the garden is w = 17 feet and
  • length l = 40 feet.
  • Also, the walkway iis 18 feet wide.

So, the length of walkway plus garden, L = 40 ft + 18 ft = 58 ft. The width of walkway plus garden, W = 17 ft + 18 ft = 35 ft.

The area of the walkway

We now need to find the area of the walkway.

Area of walkway, A" = area of walkway plus garden - area of garden

= LW - lw

= 58 ft × 35 ft - 40 ft × 17 ft

= 2030 ft² - 680 ft²

= 1350 ft²

Now, since each brick is 6 inches wide and 8 inches long, the area of each brick is A' = 6 in × 8 in  = 48 in²

So, the number of bricks required, n = area of walkway/area of brick

= 1350 ft²/48 in²

= 1350 × 144 in²/48 in²

= 194400 in²/48 in²

= 4050 bricks

So, the minimum number of bricks Salah will have to buy is 4050 bricks

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