Calculate the area of a rectangular carpet if the width is 8m and the diagonal measures 10m
you have a right-angled triangle , so use Pythagoras
l^2 + 8^2 = 10^2
l^2 = 36
l = √36 = 6
area = lw =
To calculate the area of a rectangular carpet, we need to know either the length or the height of the carpet. However, in this case, we only have information about the width and the diagonal.
To find the length of the carpet, we can use the Pythagorean theorem, which states that in a right-angled triangle, the square of the length of the hypotenuse (in our case, the diagonal) is equal to the sum of the squares of the lengths of the other two sides (width and length).
So, let's calculate the length of the carpet using the Pythagorean theorem:
Length^2 + Width^2 = Diagonal^2
Length^2 + 8^2 = 10^2
Length^2 + 64 = 100
Length^2 = 100 - 64
Length^2 = 36
Taking the square root of both sides, we get:
Length = √36
Length = 6m
Now that we know the length and the width of the carpet, we can calculate the area by multiplying them:
Area = Length x Width
Area = 6m x 8m
Area = 48 square meters
Therefore, the area of the rectangular carpet is 48 square meters.