Question 1 :
A wire is in the shape of a square of side 10 cm. If the wire is rebent into a rectangle of length 12 cm, find its breadth. Which encloses more area, the square or the rectangle?
Question 2 :
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find its length.
Question 3 :
A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.
Question 4 :
Shazli took a wire of length 44 cm and bent it into the shape of a circle. If the same wire is bent into the shape of a square, what will be the length of each of its sides?
Question 5 :
Find the height of parallelogram when its base and area are 20cm and $246 cm^{2}$ respectively.
Question 6 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad9f59b460d7261eb80.png' />
In above image, find the area of the quadrilateral ABCD. Here, AC = 22 cm, BM = 3 cm, DN = 3 cm, and BM perpendicular to AC, DN perpendicular to AC.
Question 7 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacef59b460d7261eb72.png' />
In above image, PQRS is a parallelogram. QM is the height from Q to SR and QN is the height from Q to PS. If SR = 12 cm and QM = 7.6 cm. Find QN if PS = 8cm.
Question 8 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa878c526e972caefff.PNG' />
In the given figure, Find the area of the quadrilateral ABCD. Here, AC = 22 cm, BM = 3 cm,DN = 3 cm, and BM ⊥ AC, DN ⊥ AC
Question 9 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad6f59b460d7261eb7b.png' />
In above image, find the area of parallelogram.
Question 11 :
Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the radius of that circle.
Question 12 :
A 3 m wide path runs outside and around a rectangular park of length 125 m and breadth 65 m. Find the area of the path.
Question 13 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa378c526e972caefeb.PNG' />
In the given figure, Find the perimeter of the given shape as shown in the figure above. (Use π = $ \frac{22}{7}$)
Question 14 :
The area of a square park is the same as of a rectangular park. If the side of the park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.
Question 15 :
What would you need to find, area or perimeter to answer the following : How much plastic sheet do you need to cover a rectangular swimming pool ?
Question 16 :
A circular flower bed is surrounded by a path 4 m wide. The diameter of the flower bed is 66 m. What is the area ofthis path?
Question 17 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aaa78c526e972caf005.PNG' />
In the given figure, The outer rectangle is of length 6 cm and breadth 4 cm and is composed of congruent polygons. Find the area of each polygon.
Question 18 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cadbf59b460d7261eb82.png' />
In above image, find the area of shaded part.
Question 19 :
Find the height of triangle when its base and area are 22cm and $170.5 cm^{2}$ respectively.
Question 20 :
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find the area.
Question 21 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a9f78c526e972caefdf.PNG' />
In the given figure, One of the sides and the corresponding height of a parallelogram are 4 cm and 3 cm respectively. Find the area of the parallelogram as shown in the figure above.
Question 22 :
Find the area of a circle of radius 30 cm (use π = 3.14).
Question 23 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad8f59b460d7261eb7e.png' />
In the above image, Pragya wrapped a cord around a circular pipe of radius 4 cm and cut off the length required of the cord. Then she wrapped it around a square box of side 4 cm. Did she have any cord left?
Question 25 :
A circle of radius 2 cm is cut out from a square piece of an aluminium sheet of side 6 cm. What is the area of the left over aluminium sheet? (Take π = 3.14)
Question 26 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa078c526e972caefe2.PNG' />
In the given figure, Find BC, if the area of the triangle ABC is $36cm^{2}$ and the height AD is 3 cm as shown in the figure above.
Question 27 :
What is the area of rectangle where length=l and breadth=b ?
Question 29 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa778c526e972caeff9.PNG' />
In the given figure, Find the area of the parallelogram .
Question 30 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cacbf59b460d7261eb6d.png' />
In above image, find the area of triangle.
Question 31 :
What would you need to find, area or perimeter to answer the following : What is the length of a wire required to fence a rectangular flower bed?
Question 32 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad1f59b460d7261eb74.png' />
In the above image, from a circular card sheet of radius 14 cm, two circles of radius 3.5 cm and a rectangle of length 3 cm and breadth 1cm are removed. Find the area of the remaining sheet.
Question 33 :
The area of a square park is the same as of a rectangular park. If the side of the square park is 60 m and the length of the rectangular park is 90 m, find the breadth of the rectangular park.
Question 34 :
A circular flower garden has an area of $314 m^{2}$. A sprinkler at the centre of the garden can cover an area that has a radius of 12 m. Will the sprinkler water the entire garden? (Take π = 3.14)
Question 35 :
Shazli took a wire of length 44 cm and bent it into the shape of a circle. Find the area of circle.
Question 36 :
A verandah of width 2.25 m is constructed all along outside a room which is 5.5 m long and 4 m wide. Find: (i)the area of the verandah. (ii)the cost of cementing the floor of the verandah at the rate of Rs.200 per $m^{2}$.
Question 37 : <img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1caddf59b460d7261eb84.png' />
In above image, a rectangular lawn with a circular flower bed in the middle. Find the area of the flower bed.
Question 38 :
The radius of a circular pipe is 10 cm. What length of a tape is required to wrap once around the pipe (π = 3.14)?
