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The total area of square and rectangle is 955 m2, and diagonal of square is 25√2 m. find sum of parameter of square and rectangle if length of rectangle is 22 m.
- a)124 m
- b)160 m
- c)174 m
- d)156 m
- e)170 m
Correct answer is option 'C'. Can you explain this answer?
Most Upvoted Answer
The total area of square and rectangle is 955 m2, and diagonal of squ...
Given
The total area of square and rectangle is 955 m2
The diagonal of the square is 25√2 m.
The length of the rectangle is 22 m.
Diagonal of square = √2 × side
Area of rectangle = length × breadth
Area of square = side2
The total area of square and rectangle = Area of rectangle + Area of square
Perimeter of square = 4 × side
Perimeter of rectangle = 2 × (Length + Breadth)
Total Perimeter of square and rectangle = Area of Rectangle + Perimeter of square
Diagonal of square = √2 × side
⇒ 25√2 = √2 × side
⇒ Side = 25 m
Total area of square and rectangle = Area of rectangle + Area of square
⇒ 955 = 22 × breadth + 25 × 25
⇒ Breadth = 15 m
Total Perimeter of square and rectangle = Area of Perimeter + Perimeter of square
⇒ 4 × 25 + 2 × (22 + 15)
⇒ 4 × 25 + 2 × (37)
⇒ 100 +74
⇒ 174 m
∴ The Sum of the Perimeter of square and rectangle is 174 m.
Hence, the correct option is (C).
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The total area of square and rectangle is 955 m2, and diagonal of squ...
Given Information:
Total area of square and rectangle = 955 m2
Diagonal of square = 25√2 m
Length of rectangle = 22 m
Calculations:
Let the side of the square be 'a' meters.
Area of square = a^2
Area of rectangle = length * width = 22 * (955 - a^2) / 22 = 955 - a^2
Since the diagonal of the square is 25√2 m, we can use Pythagoras theorem to find the side of the square:
a^2 + a^2 = (25√2)^2
2a^2 = 625 * 2
a = 25
Now, we can find the area of the square and rectangle:
Area of square = 25^2 = 625 m2
Area of rectangle = 955 - 625 = 330 m2
Calculation of Perimeter:
Perimeter of square = 4 * side = 4 * 25 = 100 m
Perimeter of rectangle = 2(length + width) = 2(22 + 15) = 74 m
Sum of Perimeters:
Sum of perimeter of square and rectangle = 100 + 74 = 174 m
Therefore, the correct answer is option C) 174 m.
Total area of square and rectangle = 955 m2
Diagonal of square = 25√2 m
Length of rectangle = 22 m
Calculations:
Let the side of the square be 'a' meters.
Area of square = a^2
Area of rectangle = length * width = 22 * (955 - a^2) / 22 = 955 - a^2
Since the diagonal of the square is 25√2 m, we can use Pythagoras theorem to find the side of the square:
a^2 + a^2 = (25√2)^2
2a^2 = 625 * 2
a = 25
Now, we can find the area of the square and rectangle:
Area of square = 25^2 = 625 m2
Area of rectangle = 955 - 625 = 330 m2
Calculation of Perimeter:
Perimeter of square = 4 * side = 4 * 25 = 100 m
Perimeter of rectangle = 2(length + width) = 2(22 + 15) = 74 m
Sum of Perimeters:
Sum of perimeter of square and rectangle = 100 + 74 = 174 m
Therefore, the correct answer is option C) 174 m.
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The total area of square and rectangle is 955 m2, and diagonal of square is 25√2 m. find sum of parameter of square and rectangle if length of rectangle is 22 m.a)124 mb)160 mc)174 md)156 me)170 mCorrect answer is option 'C'. Can you explain this answer?
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