Question

Ram wants to construct a path of 4m wide around a rectangular flower

bed of dimensions 40m and 30m.


(i) What is the area of the flower bed?

(ii) What is the area of the outer rectangular path?

(iii) What is the area of the path?

(iv) Find the perimeter of the flower bed.

(v) Find the perimeter of the outer rectangular path?​

Answer 1

Answer:

The length and breadth of a rectangular piece of land are 500 m and 300 m respectively.

Find:

(i) Its area. (ii) The cost of the land, if 1 m2 of the land costs Rs 10,000.

Answer:

Given: Length of a rectangular piece of land = 500 m

and breadth of a rectangular piece of land = 300 m

(i) Area of a rectangular piece of land = Length * Breadth

= 500 * 300

= 1,50,000 m2

(ii) Since, the cost of 1 m2 land = Rs 10,000

Therefore, the cost of 1,50,000 m2 land = 10,000 * 1,50,000 = Rs 1,50,00,00,000

Question 2:

Find the area of a square park whose perimeter is 320 m.

Answer:

Given: Perimeter of square park = 320 m

=> 4 * side = 320

=> side = 320/4 = 80 m

Now, Area of square park = side * side = 80 * 80 = 6400 m2

Thus, the area of the square park is 6400 m2.

Question 3:

Find the breadth of a rectangular plot of land, if its area is 440 m2 and the length is 22 m. Also find its perimeter.

Answer:

Area of rectangular park = 440 m2

=> length * breadth = 440 m2

=> 22 * breadth = 440

=> breadth = 440/22 = 20 m

Now, Perimeter of rectangular park = 2(length + breadth)

= 2(22 + 20)

= 2 * 42 = 84 m

Thus, the perimeter of rectangular park is 84 m.

Question 4:

The perimeter of a rectangular sheet is 100 cm. If the length is 35 cm, find its breadth. Also find the area.

Answer:

Perimeter of the rectangular sheet = 100 cm

=> 2(length + breadth) = 100 cm

=> 2(35 + breadth) = 100

=> 35 + breadth = 100/2

=> 35 + breadth = 50

=> breadth = 50 - 35

=> breadth = 15 cm

Now, Area of rectangular sheet = length * breadth

= 35 * 15 = 525 cm2

Thus, breadth and area of rectangular sheet are 15 cm and 525 cm2 respectively.