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Calculate the area of rectangle if one square represents an area of 1 cm^{2}.
There are 6×4=24 squares and each square has an area of = 1cm^{2}. So, the area of rectangle =6×4×1=24cm^{2}.
Each side of square is of 10m. What will be the area of the square?
Area of square=side×side=10×10=100m^{2}.
Find the missing side in the figure given below if the perimeter of the figure is 28m?
Given figure is a rectangle. Also, given I = length = 8m Let b be the breadth of the rectangle. Perimeter of rectangle = 2(1 + b) = 28 ⇒ l + b = 28 / 2 ⇒ l + b = 14 ⇒ b = 14 ? 8 = 6m.
The length and breadth of a rectangle are (3a + 2) and (2a  1). Which of the following represents its perimeter?
Perimeter = 2[3a + 2 + 2a  1] = 2[5a + 1]
The area of a triangle whose base is 12 cm and the Height twice the base, is
Base ofΔ = 12 cm Height ofΔ=2×12=24cm Area ofΔ=1/2×12×24=144sq.cm.
The breadth of a rectangle is increased by 2 units. Its perimeter is now increased by?
We are given the following in the question:
The breadth of a rectangle is increased by 2 units.
Let l be the original length and b be the original breadth.
New breadth = b + 2
The perimeter of rectangle =
The perimeter of new rectangle =
Hence, the perimeter of rectangle increases by 4 units.
How many small cubes of side 2 cm can be put in a cubical box of side 6 cm?
Volume occupied by one cube of 2 cm = 2*2*2=8cm³
Volume occupied by one cube of 6 cm = 6*6*6=216cm³
No. of cubes of side 2 cm can be put in a cubical box of sides 6 cm = 216/8 = 27 cubes
side × side
Which of these figures represents the area of 24m^{2} if given that each block=2m^{2}
Given each block is of 2m^{2},so there should be 12 blocks in a figure to get an area of 24m^{2}. In option (c), there are 2×6=12 blocks in figure.
No. of shaded boxes = 28, No. of unshaded boxes = 60 Area of 1 unshaded box =3m^{2} So, area of unshaded region = 60×3=180m^{2}.
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