Answer:
16 square meters per square inch
Step-by-step explanation:
we know that
The scale drawing is
[tex]\frac{(1/2)}{2}=\frac{1}{4}\ \frac{in}{m}[/tex]
That means ---> 1 in in the drawing represent 4 meters in the actual
Find the dimensions of the blackboard in the drawing
Divide by 4
[tex]\frac{9}{10}\ m=\frac{9}{10}/4=\frac{9}{40}\ in[/tex]
[tex]\frac{7}{10}\ m=\frac{7}{10}/4=\frac{7}{40}\ in[/tex]
Find the area of the blackboard
[tex](\frac{9}{10})(\frac{7}{10})=\frac{63}{100}\ m^2[/tex]
Find the area in the drawing
[tex](\frac{9}{40})(\frac{7}{40})=\frac{63}{1,600}\ in^2[/tex]
Find out the unit rate of area in square meters of the blackboard per square inch of area in the drawing
[tex](\frac{63}{100})/(\frac{63}{1,600})=\frac{1,600}{100}=16\ \frac{m^2}{in^2} [/tex]
