How many bricks 3.75 in. wide x 8 in. long are required to cover a patio 13 ft. 6 in. wide by 18 ft. 9 in. long? problem: how many bricks 9.5 cm wide x 20 cm long are required to cover a patio 4 meters wide by 5 meters long?
step 1. first, find the total width and length of the patio in inches. step 1. first, find the area of the patio in square cm.
step 1a. convert the portion of width and length that is expressed in feet to inches:
width: 13 ft. = 13 x = in.
length: 18 ft. = 18 x = in. step 1a. convert the width and length in meters to cm:
width: 4 m = 4 x = cm
length: 5 m = 5 x = cm
step 1b. add these values to the portion of the width and length of the patio expressed in inches to find totals:
total width: in. + 6 in.= in.
total length: in. + 9 in.= in. step 2. find the area of the patio in square cm. by multiplying its width by its length:
cm x cm = cm²
step 2. find the area of the patio in square inches by multiplying its total width by its total length:
in. x in. = in.² step 3. find the area of each brick in square cm. by multiplying its width by its length:
cm x cm = cm²
step 3. find the area of each brick in square inches by multiplying its width by its length:
in. x in. = in.² step 4. find the number of bricks needed by dividing the patio area by the brick area (round up to the nearest whole brick):
/ = bricks
step 4. find the number of bricks needed by dividing the patio area by the brick area (round up to the nearest whole brick):
/ = bricks

Part a) 1,215 bricks

Part b) 1,053 bricks

Step-by-step explanation:

Part a) How many bricks 3.75 in. wide x 8 in. long are required to cover a patio 13 ft. 6 in. wide by 18 ft. 9 in. long?

Step 1

First, find the total width and length of the patio in inches

1a). Convert the portion of width and length that is expressed in feet to inches:

width: 13 ft. = 13 x 12= 156 in

length: 18 ft. = 18 x 12=216 in

1b). Add these values to the portion of the width and length of the patio expressed in inches to find totals:

total width: 156 in. + 6 in.= 162 in.

total length: 216 in. + 9 in.=225 in

step 2

Find the area of the patio in square inches by multiplying its total width by its total length:

162 in. x 225 in. = 36,450 in.²

step 3

Find the area of each brick in square inches by multiplying its width by its length:

3.75 in. x 8 in. = 30 in.²

step 4

Find the number of bricks needed by dividing the patio area by the brick area (round up to the nearest whole brick):

36,450/30 =1,215 bricks

Part b) How many bricks 9.5 cm wide x 20 cm long are required to cover a patio 4 meters wide by 5 meters long?

Step 1

First, find the area of the patio in square cm

1a). Convert the width and length in meters to cm:

width: 4 m = 4 x 100 = 400 cm

length: 5 m = 5 x 100 = 500 cm

step 2

Find the area of the patio in square cm. by multiplying its width by its length:

400 cm x 500 cm =200,000 cm²

step 3

Find the area of each brick in square cm. by multiplying its width by its length:

9.5 cm x 20 cm =190 cm²

step 4

Find the number of bricks needed by dividing the patio area by the brick area (round up to the nearest whole brick):

200,000/190 =1,052.63 bricks

Round up

1,053 bricks

x=4

step-by-step explanation:

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