the dimensions of a blackboard are 9/10 of a meter by 7/10 of a meter. In drawing of the blackboard given below, 1/2 of a inch represents 2 meters. What is unit rate of area in square meters of the blackboard per square inch of area in the drawing?

Answer:16 square meters per square inchStep-by-step explanation:we know thatThe 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 actualFind the dimensions of the blackboard in the drawingDivide 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]