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;
[tex]a^2+b^2=c^2\\a^2+(250)^2=(472)^2\\a^2+62500=222784\\a^2=222784-62500\\a^2=160284\\[/tex]
Taking square root on both sides
[tex]\sqrt{a^2}=\sqrt{160284}\\a=400.35[/tex]
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
Learn more about area at:
#LearnwithBrainly
