The sides of rectangle are given by 23.7 units
and 3.8 units. Find the area of rectangle and
specify correct number of significant figures.
Answers
Answer:
90.06 units²
Explanation
Length = 23.7
Breadth= 3.8
Area = length × breadth
= 23.7 × 3.8
= 90.06 units²
- The area of the rectangle = 90.06 units²
- The area of the rectangle is correct upto two significant figures.
- The area of the rectangle correct upto two significant figures = 90 units²
Given :
The sides of rectangle are given by 23.7 units and 3.8 units
To find :
- The area of the rectangle
- To specify correct number of significant figures
Concept :
Rule for rounding off a number :
Discard all digits to the right of the nth place , if the discarded number is less than half a unit in the nth place , leave the nth digit unchanged ; if the discarded number is greater than half a unit in the nth place , add 1 to the nth digit .
If the discarded digit is exactly half an unit in nth digit leaving the nth digit unaltered if it is an even number but increase it by 1 if it is an odd number
Solution :
Step 1 of 2 :
Calculate area of the rectangle
Here it is given that the sides of rectangle are given by 23.7 units and 3.8 units.
Length of the rectangle = 23.7 unit
Breadth of the rectangle = 3.8 unit
The area of the rectangle
= Length × Breadth
= 23.7 × 3.8 unit²
= 90.06 unit²
Step 2 of 2 :
Specify correct number of significant figures
Length of the rectangle has three significant figures
Breadth of the rectangle has two significant figures
Since 2 < 3
∴ The area of the rectangle is correct upto two significant figures.
Now area of the rectangle = 90.06 unit²
Hence area of the rectangle correct upto two significant figures = 90 units²
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