Question

A scale drawing for a plot of land is shown below. In the drawing, 3 cm represents 4 m. Assuming the backyard is rectangular, find the area of the real backyard

Answer 1

[scale]=[drawing]/[real]-----------> [real]=[drawing]/[scale]

scale=3 cm/ 4 m------> 0.75 cm/m

the dimensions of backyard in the drawing are 9 cm x 6 cm

step 1

find the real dimensions of backyard

for 9 cm

[real]=[drawing]/[scale]

[real]=[9]/[0.75]----------> 12 m

for 6 cm

[real]=[drawing]/[scale]

[real]=[6]/[0.75]----------> 8 m

so

the real dimensions of backyard are 8 m x 12 m

[the area of the real backyard ]=8*12--------> 96 m²

the answer is 96 m²