Answer:
16m² per in²
Step-by-step explanation:
Here is the complete question: The dimensions of a blackboard are 9/10 of a meter by 7/10 of a meter. In a drawing of a blackboard given below, 1/2 of an inch represents 2 meters. What is unit rate of area in square meters of the blackboard per square inch of area in drawing?
Given: Dimension of blackboard=
In a drawing, 1/2 of an inch represents 2 meters.
Now, finding scale of drawing
As given; 1/2 of an inch represents 2 meters
∴
Fraction shows that 1 inch represent 4 meter in drawing.
Next, converting the unit of dimensions of the blackboard.
= in
in
Now, finding area of blackborad in m²
Area of blackboard=
Next, Area of blackboard in drawing
Area of blackboard in drawing=
∴ Unit rate of area in square meters of the blackboard per square inch of area in drawing:
To divide the fraction take the reciprocal of divisor and multiply the dividend.
∴ 16 is the unit rate of area in square meters of the blackboard per square inch of area in drawing.