7th Grade > Mathematics
AREA AND PERIMETER MCQs
Perimeter And Area
:
Circumference of a circle of radius r cm = 2πr cm
Thus, circumference of the tyre = 2πr = Distance covered in each rotation
i.e., Distance covered in 1 rotation = 2×π×14 = 88 cm
Distance covered in 150 rotation = 88 × 150 = 13200 cm = 0.132 km
:
A
The area A of a rectangle is given by:
A=length×breadth
Therefore, for the given rectangle , we have
A=12×8=96cm2
:
D
You can plant 4 plants per meter.
The perimeter of the garden = 1.25m + 3m + .75m + 2.5m = 7.5m
If in 1m 4 plants can be planted, then in 7.5m, 7.5 × 4 = 30 plants can be planted.
So, 30 plants need to be bought.
:
D
For 2.5 m, number of saplings required = 5
For 1 m, number of saplings required = 52.5 = 2
Ted has to plant 2 plants per metre.
Perimeter of the garden = (10.2 + 11.4 + 10.6 + 8.8) m = 41.0 m = 41 m
For 1 m, Ted needs 2 plants.
So, for 41 m, Ted is going to need = 41 × 2 = 82 saplings.
:
Area of square of side A isA2
Area of given square = 10 × (10)
= 100 m2
Area of a rectangle whose length and breadth are A m and B m respectively is A × B
Area of given rectangle = 11 × 9
= 99 m2
100 is greater than 99.
Hence, Square has greater area compared to the given rectangle.
:
Formula: 1 Mark
Answer: 1 Mark
Given that
The diameter of a circle is 10m.
Area of the circle whose radius is R is π×(R)2
Radius of the given circle = 102
= 5m
Area of the given circle = π×(5)2
= 78.5m2
= 785000cm2
Area of the required circle is 785000cm2
:
Formula: 1 Mark
Answer: 1 Mark
Given that
The circumference of a circle = 70 m
Let the radius of the circle be 'R' m
Circumference of given circle is 2πR
2πR = 70
R = 35π
Area = π×(35π)2
= 389.77m2
The area of the circle is 389.77m2.
:
Blanks : 1 Mark each
We know that the area of triangle= 12×base×height
In first row, base=15 cm and area = 87cm2
∴ 87=12×15×height ⇒ height=87×215=11.6 cm
In second row, height=31.4 mm and area =1256 mm2
∴ 1256=12×base×31.4 ⇒ base=1256×231.4=80 mm
In third row, base=22 cm and area =170.5 cm2
∴ 170.5=12×22×height
⇒ height=170.5×222=15.5 cm
Thus, the missing values are:
BaseHeightArea of triangle15 cm11.6 cm87 cm280 mm31.4 mm1256 mm222 cm15.5 cm170.5 cm2
:
Process : 1 Mark
Result : 1 Mark
Perimeter of the parallelogram = 2( side + base )
= 2(10+9) =38 m
Area of the parallelogram = base × (height)
= 9 × (5) = 45 m2