Free Perimeter and Area 02 Practice Test - 7th grade 

To find the perimeter in centimeters, we have to convert all the dimensions into centimeters.

$1500mm=\frac{1500}{10}cm=150cm$

$2m=2\times 100cm=200cm$

$500mm=\frac{500}{10}cm=50cm$

$1m=1\times 100cm=100cm$. So, after converting all the dimensions to centimeters, the lengths of the sides of polygon are as follows:

Perimeter of the polygon (in cm) = (100 + 150 + 50 + 200 + 50 + 100) cm = 650 cm

Given that the area of the blue cloth = $\frac{1}{10}ofareaofyellowcloth$

$\Rightarrow \frac{1}{10}of60c{m}^2=6c{m}^2$

Since area of the total cloth = Area of the yellow cloth + Area of the blue cloth + Area of the red cloth required,

$\Rightarrow$Area of the red cloth required = Area of the total cloth - Area of the yellow cloth -  Area of the blue cloth

$\Rightarrow 80c{m}^2-60c{m}^2-6c{m}^2$=$14c{m}^2$

Thus, area of the red cloth = $14c{m}^2$

The area of a square is given by squaring its edge length. So the area of the given square is $a^2$.

The area of a quarter circle is one-fourth of that of the complete circle because the area is the region enclosed. For a semi-circle, it is half of the total area and for quarter circle, it is one-fourth. So, area of a quarter circle with radius $r=\frac{\pi r^2}{4}$

The circumference is the length of the boundary. For a quarter circle with radius r, circumference is given by  $\left(\frac{\pi r}{2}\right)+2r$.

So, statement 1 is true and statement 2 is false.

Circumference of a circle of radius $r$ cm = $2\pi r$ cm
Thus, circumference of the tyre = $2\pi r$ = Distance covered in each rotation

i.e., Distance covered in 1 rotation = $2\times \pi \times 14$ = 88 cm

Distance covered in 150 rotation = 88 $\times$ 150 = 13200 cm = 0.132 km

$\text{Area of a parallelogram}=base\times height\text{Area of kajubarfi (parallelogram)}=(4\times 3)c{m}^2=12c{m}^2$

The area A of a rectangle is given by:

$A=length\times breadth$
Therefore, for the given rectangle , we have
$A=12\times 8=96c{m}^2$

So, 30 plants need to be bought.

For 2.5 m, number of saplings required = 5

For 1 m, number of saplings required = $\frac{5}{2.5}$ = 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 $\times$ 2 = 82 saplings.