Question 1 :
Find the height of triangle when its base and area are 15cm and $87 cm^{2}$ respectively.
Question 2 :
Find the area of a square park whose perimeter is 320 m.
Question 3 :
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 4 :
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?
Question 5 :
<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 6 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1caccf59b460d7261eb6f.png' />
In above image, find the area of parallelogram.
Question 7 :
Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs.15/$m^{2}$.(Take π = 3.14)
Question 8 :
Find the height ‘x’ if the area of the parallelogram is $24 cm^{2}$ and the base is 4 cm.
Question 9 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cac9f59b460d7261eb6a.png' />
In the above image, find the circumference of the outer and the inner circles.
Question 11 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1c845f59b460d7261e820.PNG' />
In the image above, triangle AEC is right-angled at E, B is a point on EC, BD is the altitude of triangle ABC, AC = 25 cm, BC = 7 cm and AE = 15 cm. Find the area of triangle ABC.
Question 13 :
Find the cost of polishing a circular table-top of diameter 1.6 m, if the rate of polishing is Rs 15/m$^2$.
Question 14 :
A path 5 m wide runs along inside a square park of side100 m. Find the area of the path. Also find the cost of cementing it at the rate of Rs. 250 per 10 $m^{2}$.
Question 15 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa578c526e972caeff3.PNG' />
In the given figure, Find the area of the parallelogram .
Question 16 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cad9f59b460d7261eb7f.png' />
In above image, a rectangular lawn with a circular flower bed in the middle. Find the area of the whole land.
Question 18 :
A garden is 90 m long and 75 m broad. A path 5 m wide is to be built around it. Find the area of the path. Also find the area of the garden in hectare.
Question 19 :
What would you need to find, area or perimeter to answer the following : What distance would you cover by taking two rounds of a triangular park ?
Question 20 :
If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet.
Question 21 :
The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth.
Question 22 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa978c526e972caf001.PNG' />
In the given figure, Find the area of shaded portion for the above figure.
Question 23 :
What is the circumference of a circular disc of radius 14 cm? (Use π = $ \frac{22}{7}$)
Question 24 :
A wire is in the shape of a rectangle. Its length is 40 cm and breadth is 22 cm. If the same wire is rebent in the shape of a square, what will be the measure of each side. Also find which shape encloses more area?
Question 26 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa178c526e972caefe4.PNG' />
In the given figure, The two sides of the parallelogram ABCD are 6 cm and 4 cm. The height corresponding to the base CD is 3 cm as shown in the figure above. Find the (i)area of the parallelogram. (ii)the height corresponding to the base AD
Question 27 :
From a circular sheet of radius 4 cm, a circle of radius 3 cm is removed. Find the area of the remaining sheet. (Use π = 3.14)
Question 29 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aa678c526e972caeff5.PNG' />
In the given figure, Find the area of the triangle .
Question 30 :
The circumference of a circle is 31.4 cm. Find the radius and the area of the circle?(Take π = 3.14)
Question 31 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1aaa78c526e972caf006.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 32 :
In a parallelogram ABCD, AB = 7.2 cm and the perpendicular from C on AB is 4.5 cm. Find its area.
Question 33 :
The area of a rectangular sheet is 500 $cm^{2}$. If the length of the sheet is 25 cm, what is its width? Also find the perimeter of the rectangular sheet.
Question 34 :
The perimeter of a rectangle is 130 cm. If the breadth of the rectangle is 30 cm, find the area of the rectangle.
Question 36 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cac8f59b460d7261eb69.png' />
In above image, find the area of parallelogram.
Question 37 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61cc1a9f78c526e972caefdd.PNG' />
In the given figure, A rectangular park is 45 m long and 30 m wide.A path 2.5 m wide is constructed outside the park. Find the area of the path.
Question 38 :
The minute hand of a circular clock is 15 cm long. How far does the tip of the minute hand move in 1 hour. (Take π = 3.14)
Question 39 :
<img style='object-fit:contain' src='https://teachmint.storage.googleapis.com/question_assets/cbse_ncert/61b1cadaf59b460d7261eb81.png' />
In above image, a rectangular lawn with a circular flower bed in the middle. Find the area of the lawn excluding the area of the flower bed.
Question 40 :
Find the area of the circle with the radius 14 mm. (Use π = $ \frac{22}{7}$)
Question 41 :
Sudhanshu divides a circular disc of radius 7 cm in two equal parts.What is the perimeter of each semicircular shape disc? (Use π = $ \frac{22}{7}$)
Question 42 :
The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find the cost of the land, if 1 m$^2$ of the land cost Rs 10,000.
Question 43 :
<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 44 :
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 45 :
<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 47 :
A path 1 m wide is built along the border and inside a square garden of side 30m. Find the cost of planting grass in the remaining portion of the garden at the rate of Rs 40 per m$^2$.
Question 48 :
If the circumference of a circular sheet is 154 m, find its radius. Also find the area of the sheet. (Use π = $ \frac{22}{7}$)
Question 49 :
The length and the breadth of a rectangular piece of land are 500 m and 300 m respectively. Find the cost of the land, if 1 $m^{2}$ of the land costs Rs.10,000.