Question

You measure a sheet of paper. The width is 8.47 inches and the length is 10.98 inches. What is the area of the paper in mks units (m2)?

Answer 1

To find the area in square meters, convert the measurements from inches to meters and multiply. The area of the paper is approximately 0.0600 m² after conversion and calculation, rounded to three significant figures.

Step-by-step explanation:

To calculate the area of a sheet of paper in square meters when given its dimensions in inches, we first convert the measurements to meters and then use the area formula. The conversion factor from inches to meters is 1 inch = 0.0254 meters.

Width in meters: 8.47 inches × 0.0254 = 0.215258 meters (rounded to six decimal places for accuracy during calculation)

Length in meters: 10.98 inches × 0.0254 = 0.278892 meters (rounded to six decimal places for accuracy during calculation)

The area is then calculated by multiplying length by width:

Area in square meters = 0.215258 m × 0.278892 m = 0.060006 square meters

However, rounding the final result to three significant figures, as those are the number of significant figures in the original measurements, yields an area of approximately 0.0600 m².

Answer 2

SOLUTION - GIVEN

Width = 8.47 inches

Length = 10.98 inches

FIND OUT - Area of a paper in mks units.

TO PROOF - Paper shape is like rectangle.

Formula

Area of a rectangle = length × breadth

= 10.98 × 8.47
`inches^2`

= 93.0006
`inches^2`

Now we require answer in mks units.

( mks units stand for the length in meter, mass in kilogram & time in

seconds.)

That means we require answer in meter unit.

1 inches = 0.0254 meter

Area of a paper = 93.0006 × 0.0254 × 0.0254
`meter^2`

= 0.0600002671
`meter^2`

Hence proved