The dimensions of a blackboard are 9/10 of a meter. in a drawing of a blackboard given below, 1/2 of an inch represents 2 meters.

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.

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step-by-step explanation: