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A. 27m
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B. 32m
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C. None of these
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D. 28m
Explanation
The formula for area is:
Area = Length * Width
96 = L * 3
L = 96 / 3
L = 32
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A. None of these
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B. 8
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C. 16
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D. 12
Explanation
The perimeter of a rectangle is given by:
P = 2(length + breadth)
Given:
P = 28 cm
Breadth = 6 cm
28 = 2(length + 6)
14 = length + 6
length = 8 cm
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A. 6
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B. None of these
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C. 7.5
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D. 7.75
Explanation
Let's denote the width as w and the length as 3w (since the length is thrice the width).
The area of the window is:
w × 3w = 3w²
Given area = 18.75 sqm
3w² = 18.75
w² = 18.75 / 3
w² = 6.25
w = √6.25
w = 2.5
Length = 3w
= 3 × 2.5
= 7.5
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A. None of these
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B. 6x
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C. 9x
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D. 4x
Explanation
Given:
Width = x
Length = 2 × Width = 2x
Perimeter of a rectangle = 2(Length + Width)
= 2(2x + x)
= 2(3x)
= 6x
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A. 50 cm
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B. 70 cm
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C. None of these
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D. 60 cm
Explanation
Given:
Original length = 15 cm
Original area = 150 cm²
Original width = Area / Length
= 150 / 15
= 10 cm
New area = 1 1/3 times the original area
= 4/3 × 150
= 200 cm²
New length = New area / Width
= 200 / 10
= 20 cm
New perimeter = 2(Length + Width)
= 2(20 + 10)
= 2 × 30
= 60 cm
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A. None of these
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B. 10m
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C. 7m
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D. 8m
Explanation
Given:
Breadth = 1/5 × Length
Perimeter = 24m
Let length = L
Breadth = L/5
Perimeter formula: P = 2(L + B)
24 = 2(L + L/5)
24 = 2(6L/5)
24 = 12L/5
24 × 5 = 12L
120 = 12L
L = 10m
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A. A square
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B. None of these
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C. A triangle
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D. A circle
Explanation
The given inequalities define a region in the Cartesian plane:
a - δ ≤ x ≤ a + δ (horizontal bounds)
b - δ ≤ y ≤ b + δ (vertical bounds)
This region forms a square with:
Center at (a, b)
Side length of 2δ
The answer is A square.
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A. 16cm
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B. 20cm
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C. 22cm
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D. 14cm
Explanation
20cm is the correct answer
The perimeter of the rectangle=2(l+w)=120 cm l+w=120/2=60 cm The length of the rectangle=40 cm The width of the rectangle=60-40=20 cm
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A. 24cm
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B. 21cm
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C. 22cm
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D. 23cm
Explanation
23cm is the correct answer
According to the formula: P= 2(L + W) 96 = 2(25 + B) 96 = 50 + 2B 2B = 96 - 50 B = 46/2 => 23cm
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A. 16 square ft
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B. 12 square ft
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C. 09 square ft
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D. 06 square ft
Explanation
formula Area = s x s
It is not correct. 3×4=12 square ft
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