If the area of a square field is x2 + y2 + z2 + 2xy – 2yz – 2zx sq. units, then its perimeter is
A) (x + y + z)2
B) 4 (x + y + z)
C) 4 (x + y – z)
D) (x + y – z)2
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The perimeter of a square field in 8 km. Find its area in hectares.
Given perimeter of square field is 8 km let 'a' be its side then perimeter = 4a = 8km [a = 2km] we know 1 hectares =0.01(km)2 area of filed = a2 = 4km2 then area of hectare = 400/0.01 =...
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If the area of a square field is x^2 + y^2 + z^2 + 2xy – 2yz – 2zx sq. units, then its perimeter is
Correct option is (C) 4 (x + y – z) Let side length of the square be a unit. \(\therefore a^2=x^2+y^2+z^2+2xy-2yz-2zx\) \(=x^2+y^2+(-z)^2+2\times x\times y\) \(+2\times y\times -z+2\times -z\times x\) \(=(x+y-z)^2\) sq. units \(\Rightarrow\) \(a=(x+y-z)\) unit \(\therefore\) Perimeter of the square =...
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x^2 + y^2 + z2 + 2xy – 2yz – 2zx =
Correct option is (C) (x + y – z)2 \(x^2+y^2+z^2+2xy-2yz-2zx\) \(=x^2+y^2+(-z)^2+2\times x\times y\) \(+2\times y\times-z+2\times-z\times x\) = \((x+y-z)^2\)
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x^2 + y^2 + z2 + 2xy – 2yz – 2zx =
2 Answers
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Base of a coloured flag which is in the shape of triangle is 2 + √2 units and height is 2 – √2 units. Then the area of flag in square units.
Correct option is (C) 1 Area of flag \(=\frac12\times\) Base \(\times\) Height \(=\frac12\times(2+\sqrt2)\times(2-\sqrt2)\) \(=\frac{4-2}2\) = 1 square units
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The side of a square is 19 units then its area is ………………… sq. units.
Correct option is D) 361
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The side of a square is 19 units then its area is ………………… sq. units.
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The area of a square is 1024 sq. units, then its side is ……………… units.
Correct option is A) 32
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The area of a square is 1024 sq. units, then its side is ……………… units.
2 Answers
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The side of an equilateral triangle is ‘a’ units then its area is ……………. square units.
Correct option is A) \(\frac{\sqrt3}{4}\)a2
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