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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Step-by-step explanation:
Ron wants to build a 14 ft. ramp with an angle of the rise of 26° and the height of the ramp is about 6.1 ft.
We have to find out the length of the base of the ramp.
Now, the ramp forms a right triangle with the base and the height and here, the hypotenuse of the triangle is the ramp itself i.e. 14 ft.
If the base length is x feet, then we can write using the trigonometry
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The total amount of its donated funds is 43.
Given,
In the question:
A charity received a donation of 12.7 million.
If this represents 29% of the charity's donated funds.
To find the total amount of its donated funds.
Now, According to the question:
Based on the given conditions:
Received donation is = 12.7 million
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12.7 ÷ 29%
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= 12.7/0.29
Multiply both the numerator and denominator with the same integer
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