Question

There are 0.914 metres in a yard. A line drawn on blue print measures 1.5 yards. What is the length in meters?

Answer 1

Hint: In this question we need to convert the length of line into metres from yards, so we will multiply value of 1 yard in terms metre to the total length of the line in yards using unitary method which gives the value for multiple items if we are given value of single item by multiplying the value of single item value to number of items.

Complete step-by-step answer:
Here we need to convert the length of the line drawn on blue print from yards into metres when it is given to us that 1 yard is equal to 0.914 metres.
Length of the line drawn on the blueprint is equal to 1.5 yards. Let the length of the line drawn on the blueprint be L. Then
$L = 1.5$ yards …………………(1)
Equation (1) can also be written as
$L = 1.5 \times 1$ yard …………………(2)
Since, 1 yard is equal to 0.914 metres so to find a value of 1.5 yards we multiply the value of one yard to 1.5.
So in Equation (2) 1 yard is replaced by 0.914 metres
$L = 1.5 \times 0.914$ metres …………………(3)
$L = 1.371$ metres
Length of the line drawn on the blueprint is 1.371 metres.

Additional Information:
Metres and yards are both units of lengths. 1 yard is equal to 0.914 metres. Conversely, 1 metre is equal to 1.0936 yard. International system of units uses metre as the base unit of length. Length is also measured in inches and feet. One metre is equal to 3.2808 feet and 39.370 inches and 1 yard is equal to 3 feet and 36 inches.

Note: Students should always convert all the numbers in the same unit to avoid calculation mistakes.