Worksheet Question: Perimeter & Area - Mathematics (Maths) Class 7

Q.1. Complete the following Table :

Figure with Dimension	Area	Perimeter
(a) Square	.................................	.................................
(b) .................................	l × b	.................................
(c) .................................	.................................
(d) Triangle	.................................	.................................

Ans. 

Figure with Dimension	Area	Perimeter
(a) Square	a2	4a
(b)	l × b	2(l + b)
(c)	πr2
(d) Triangle		a + b + c

Q.2. Fill up the blank : (i) 10000 m² = .......................... hecture
 (ii) 1 cm² = ......................... m²
 (iii) 1 m² = ........................... cm²
 (iv) 1 km² = .......................... m²

Ans. (i) 1
(ii) 100
(iii) 10000
(iv) 1000000

Q.3. The perimeter of a square park is 2000 m. Find its area.

Ans. 250000 m²

Q.4. State whether the given statement are True or False: 

(i) All the triangles that are equal in the area are congruent.
(ii) Al congruent triangles are equal in area.
(iii) Ratio of the circumference and the diameter of a circle is more than 3.

(iv)  figure (b) has greater perimeter than figure (a)

Ans. (i) False
(ii) True
(iii) True
(iv) True

Q.5. Fill up blanks : (i) Perimeter of a regular polygon = length of one side × ........................
 (ii) The distance around a circle is its ..........................
 (iii) If a wire in the shape of the square is rebent into a rectangle, then the ................... of both shapes remain same, but ....................... may very.

(iv)  

If figure area of parallelogram BCEF is .............. cm² where ACDF is a rectangle.

Ans. (i) Number of sides
(ii) Circumference
(iii) Perimeter, Area
(iv) 35

Q.6. A shopkeeper sells two kinds of 'Till Patti'. A square 'Till Patti" of side 19 cm cost  ₹25 and a circular 'Till Patti' of diameter 21 cm cost  ₹25 which Till Patti is a better deal and why?

Ans. Square shape till pati is a better deal because its area is more than circular shape till pati.

Q.7. After measuring dimension find the area of each of the following triangles using the formula, Area = x Base x Height

Ans. (i)

  (ii)  

Q.8. After measuring dimensions, find the area of each of the parallelogram using the formula, Area = Base × Height

Ans. (i)

(ii)

(iii)

Q.9. Find the area of the shaded region in the following figures : 

(i)

(ii)

Ans. (i) 42cm²

(ii) 425 59. unit

Q.10. The Taj Mahal was created in the 17th century by Emperor Shah Jahan to honour the memory of his beloved wife Mumtaz Mahal. The design of the Taj Mahal is based on the number four and its multiples.
 The garden at the Taj Mahal was laid out in four squares of the same size Each square was divided into four flower beds, with 400 flowers in each bed. How many flowers were in the garden?

Ans. 6400 Flowers