Question

If a length and breadth is measured as 4.234m and 1.05m then area of rectangle in significant figure is

Answer 1

Answer:

for this qs area of rectangle = length * breadth

so, 4.234* 1.05=42.5517

Answer 2

Answer:

Area of rectangle = 4.45 m²

It has 3 significant figures.

Explanation:

Given:

Length of rectangle = 4.234 m  (4 significant figures)

Breadth of rectangle = 1.05 m   (3 significant figures)

Find:

Area of the rectangle in 3 significant figures = ?

Solution:

We know that, the area of a rectangle can be found using the formula,

Area of rectangle = length × breadth

                             = $4.234 \times 1.05$

                             = $4.4457$

                             = $4.45$      [ Rounding to 3 significant figures ]

That is, area of the rectangle = 4.45 m²

Since there are 4 significant figures in the length and 3 significant figures in the breadth of the rectangle, there will be 3 significant figures in the area of the rectangle, which is the product of length and breadth.

What are Significant figures?

Significant figures in a number are digits, whose significance is determined by their accuracy, that convey meaning. Eg: 3.278 has 4 significant figures. They are also known as significant digits.

• When multiplying two numbers, if the numbers have equal significant figures, the product also has the same number of significant figures.

• Example: If the two numbers have 3 significant figures, then the product will have 3 significant figures.

• If the numbers have different significant figures, then the product will have smaller significant figures of the two numbers.

• Example: If the first number has 2 significant figures, and the second number has 3 significant figures, then the product will have 2 significant figures.

Learn more about significant figures:

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