a rectangular sheet of metal is 250 cm wide and has a diagonal of 472cm. Find the length and the area of the sheet metal.
1 answer:
Length of rectangular sheet = 400.35 cm
Area of sheet = 100087.5 cm²
Step-by-step explanation:
Given,
Width of rectangular sheet = 250 cm
Diagonal of rectangular sheet = 472 cm
Let,
x be the length of rectangular sheet.
A diagonal of rectangular, forms a right triangle where diagonal serves as hypotenuse.
Therefore;
a = x
b = 250
c = 472
Using pythagoras theorem;
Taking square root on both sides
Length of rectangular sheet = 400.35 cm
Area of sheet = Length * Width
Area of sheet = 250*400.35
Area of sheet = 100087.5 cm²
Keywords: rectangle, area
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