Question 1 :
Aslam has a rectangular field of length {tex} 60 \mathrm{~m} {/tex} and a square field of side {tex} 50 \mathrm{~m} {/tex}. Both these fields have the same perimeter. If in both the fields he plants a mango tree in each one square metre, find the ratio of the number of trees planted in the two fields.

Question 2 :
The area of an equilateral triangle with side {tex} ^{\prime} 2 a^{\prime} \mathrm{cm} {/tex} is {tex} \sqrt{3} a^{2} {/tex} sq {tex} \mathrm{cm} {/tex}

Question 3 :
If the base of a triangle is doubled and its height is halved, then the area of the resulting triangle<br/>

Question 4 :
The circumferences of two circles are in the ratio 5 : 7, find the ratio between their radii.

Question 5 :
The radii of two circles are in the ratio 3 : 5, find the ratio between their circumferences.

Question 6 :
Two circles are drawn inside a bigger circle with diameters {tex} \frac{2}{3} \mathrm{rd} {/tex} and {tex} \frac{1}{3} {/tex} rd of the diameter of the bigger circle (Fig. ). Find the area of the shaded portion, if the diameter of the bigger circle is {tex} 18 \mathrm{~cm} {/tex}.<br><img style='object-fit:contain' src="https://storage.googleapis.com/teachmint/question_assets/ICSE%20-%20Class%207/5fb7a63336712b7fea88c571"><br>

Question 7 :
Area of a rectangle and the area of a circle are equal. If the dimensions of the rectangle are 14 cm × 11 cm, then the radius of the circle is<br/>

Question 8 :
The diameter of the wheel of a car is 70 cm. How many revolutions will it make to travel one kilometre?

Question 9 :
If the ratio of the radii of two circles is 3 : 5, then the ratio of their areas is<br/>

Question 10 :
Find the area (A) and the perimeter (P) of the rectangle whose dimensions are as follows:<br>{tex} l=2.2 \mathrm{~m}, b=0.1 \mathrm{~m} {/tex}<br>

Question 11 :
If the ratio of the radii of two circles is 2:3 then the ratio of their circumferences is<br/>

Question 12 :
The perimeter of a semicircle (including its diameter) of radius 7 cm is<br/>

Question 13 :
If the area of a circle is numerically equal to its circumference, then the radius of the circle is<br/>

Question 14 :
If the area of a parallelogram is 54 cm² and the length of one side is 7.5 cm, then the corresponding height is<br/>

Question 15 :
If the perimeter of a square is 24 cm, then its area is<br/>