Answer:
Part a) 1,215 bricks
Part b) 1,053 bricks
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